what are formulas used to solve polynomials? ​

Answers

Answer 1

Answer:

Polynomial Equation                          Degree                                  Example

Linear Equations                                     1                                    -3x + 1 = 4x + 5

Quadratic Equations                               2                                   x^2 – 6x + 9 = 0

Cubic Equations                                      3                              x^3 – 2x^2 + 3x = -5

Quartic Equations                                   4                                      x^4 – 2x^2 = -4

Step-by-step explanation:

Linear Equations

Linear equations are polynomial equations that have a degree of 1.

ax + b = 0

Solving for solutions for this type of equation will require us to isolate the unknown variable on one side of the equation. Master your craft in solving linear equations here.

Quadratic Equations

Quadratic equations are polynomial equations with a degree of 2.

ax2 + bx + c = 0

There are different ways we can solve quadratic equations – it mostly depends on the form of the quadratic expression on the right-hand side.

We can factor quadratic expressions and apply the zero-property.

Applying special algebraic properties such as the difference of two squares, perfect square trinomial properties, and completing the square.

Lastly, we can also use the quadratic formula to find the zeroes of quadratic equations.

Polynomial Equations (with a degree of 3 or higher)

Here’s the exciting part: what if we need to find the zeros of the solutions of a polynomial equation with degrees that are 3 or higher?

Some cubic and quartic equations can be factored by grouping and be reduced to equations with a smaller degree. There are times, however, that finding the actual factors can be challenging.


Related Questions

Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1

Answers

The expression for the perimeter of the rectangle is 63.2x - 14.6.

Given that,

Width = W = 24.6x - 10.4Length = L = 7x + 3.1

We Know that

Perimeter of the rectangle is

[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]

= 63.2x - 14.6

Here the above formula should be applied for measuring the perimeter of the rectangle.

Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

24.3

Step-by-step explanation:

First you solve the sides:

24.6-10.4 =14.2

7+3.1=10.1

After that ,you will add because perimeter is adding up the side lengths of various shapes.

14.2+10.1=24.3

5. Find the area of the shaded region as a simplified
expression.
3r
x + 8 stund
2r - 1
x2–5x+3

Answers

Answer:

x³ -3x²-34x+24

Step-by-step explanation:

the area of the shaded region =

(x²-5x+3)(x+8) - 3x(2x-1) =

x³+8x²-5x²-40x+3x+24- 6x²+3x =

x³ -3x²-34x+24

lim x ->0 ln(1+5x)/2x

Answers

answer

−>0(1+5)/2

hope it helps

write rhis number in standard notation. 1.342×10^-7​

Answers

Answer:

0.0000001342

Step-by-step explanation:

Multiply 546.1 × 0.52 = ____

Answers

Answer:283.972 is your final answerHope this helps!!! <3

help me out with this!

Answers

Answer:

k = 70

Step-by-step explanation:

Since we have been given the value of x to be -ve5 (-5),

we multiply 6 and -5( value of x). Which gives;

-30.

Then add the answer (-30) to 100.

-

K = -30 + 100

= 100 - 30

=70

Note;

(+ * + = +)

( + * - = -)

(- * - = +)

I hope this helps you.

Answer:

[tex]k=70[/tex]

Step-by-step explanation:

[tex]k=6x+100[/tex]

[tex]x=-5[/tex]

[tex]k=6(-5)+100[/tex]

Remove parentheses:- [tex]\left(-a\right)=-a[/tex]

[tex]k=-6\times 5+100[/tex]

Multiply [tex]6\times5= 30[/tex]

[tex]k=-30+100[/tex]

Add [tex]-30+100=70[/tex]

[tex]k=70[/tex]

OAmalOHopeO

PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.

Answers

Answer:

Solution given:

Equation of line is:

y=-⅔x

comparing above equation with

y=mx+c

we get

m=-⅔

So

slope is -⅔

Answer:

slope is -2/3

Step-by-step explanation:

I. It's linear equation

    y = mx + b

when y is output, x is input, m is slope and b is addition.

The statment above is y = -2/3x + 0

So -2/3 is slope or m.value

Hope that help :D

Solve for x where 2/x=2exponent x

Answers

Answer:

x = 1

Step-by-step explanation:

2/x = 2^(x)

x = 1

hope that helps

John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.

What was the new status of John's account at this point?

Answers

Answer:

210

Step-by-step explanation:-133-55-22=210

Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...

Answers

Answer:

a + 4(n-1)

Step-by-step explanation:

The first term is a+4, the second term is a+8, the third term is a+12, etc.

A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as

4 * (n-1) + a

Select the matrix multiplication that transforms vector A to
vector B

Answers

Answer:

Option C.

Step-by-step explanation:

Notice that only option B and C involves the vectors in transformation

[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]

However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.

what is ninety two thousand one hundred seventy

Answers

Answer:

92170

I hope it's helps you

If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?


PLZ HELP I NEED IT

Answers

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

To know more about Function

https://brainly.com/question/12431044

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Help me pls!!!!!!!!!!!​

Answers

Answer:

.01 times

Step-by-step explanation:

Expanded form for 4082 × 1/10=

Answers

Answer:

4000+0+80+2×0.1

Step-by-step explanation:

after expanding, /means division so you diving

How would I write a number subtracted from 2 times a number is 19 as an equation?

Answers

Answer:

[tex]let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 [/tex]

This is the answer

if wrong please correct me ! :)

If you drive 565 miles a day, how far will you have gone at the end of a week?​

Answers

565x7= 3,955
If you drive 565 miles a day for 7 days do 565 times 7!

15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.​

Answers

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.

GENTE PORFAVOR ME AJUDA

Answers

You have asked for help without actually providing what you need help on.

Three times the sum of a number and 18 is at least-30

Answers

Answer:

the sum of the number is 16 and it is al least 20 points

what is the 30th square number

plz tell the answer​

Answers

Answer:

900

.........................

Answer:

900

Step-by-step explanation:

30 square is like 30×30=900

please, solve for x!

Answers

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Brent needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?

Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.

4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2

Answers

9514 1404 393

Answer:

  (c)  16.5 cm^2

Step-by-step explanation:

The area of each triangle is given by the formula ...

  A = 1/2bh

Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2

Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2

The difference in area is ...

  22.5 cm^2 -6 cm^2 = 16.5 cm^2

Solve w = 9x + 5 y for y

Answers

Answer:

w-9x/5=y

Step-by-step explanation:

w=9x+5y

subtract 9x from both sides

w-9x=5y

divide by 5y

w-9x/5=y

w = 9x + 5y
5y = w - 9x

divide everything by 5

y= (1/5)w - (9/5)x

Can someone help me please :00

Answers

Answer:

according to the dark spots which shows where each number goes to, it would be D.-2

Vito avido is a sales representative for a company that sells roofing material. he receives a graduated commission of 5 percent on the first $5,000 of sales, 6.5 percent on the next $15,000, and a 7 percent on sales over $20,000. What is his commission on $23,458 in sales?

Answers

23458 >20000

Hence commission will be 7%

[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]

[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]

[tex]\\ \rm\longmapsto 1642.06[/tex]

Vito Avido's commission on $23,458 in sales is $1466.06.

Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.

For the first $5,000 of sales: 5% commission

Commission = 5% of $5,000 = 0.05 * $5,000 = $250

For the next $15,000 of sales: 6.5% commission

Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975

For the remaining amount over $20,000: 7% commission

Sales above $20,000 = $23,458 - $20,000 = $3,458

Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06

Now, add up the commissions from each range:

Total Commission = $250 + $975 + $241.06 = $1466.06

Vito Avido's commission on $23,458 in sales is $1466.06.

To learn more on percentage click:

brainly.com/question/13450942

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11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!

Answers

To find the solutions of quadratic equation, there are two ways to do which are:

FactorizeQuadratic Formula

Step 1

- Factor the expression.

To factor the expression, refer below:

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]

For bx and ax, both can be common-factored. Therefore

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]

From the above, we conclude that:

The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×b

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30

Then we replace the standard equation with factored form.

[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

[tex] \displaystyle \large{ x = - 5, 6}[/tex]

Therefore, the solutions are x = -5, 6.

Calculate the area of the triangle.
Note: Think about which side to use as the base.

Answers

9514 1404 393

Answer:

  27 square units

Step-by-step explanation:

The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.

  A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area

In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?​

Answers

Answer:

7/17

Step-by-step explanation:

7 boys and 10 girls. Ratio of boys to girls is 7:10

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -10

Answers

Answer:

y = -5x - 5.

Step-by-step explanation:

10x + 2y = -10        Add -10x to both sides:-

2y = -10x - 10         Divide through by 2:-

y = -5x - 5.

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