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3 years ago

How to solve this question

Mathematics

1 answer:

Fofino [41]3 years ago

5 0

This is the answer when the inequality is solved

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Help would be much appreciated! :)

Tju [1.3M]

Answer:

$\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Algebra II

Polynomial Division

Long Division
Synthetic Division

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}$

Step 2: Long Division

See attachment.

Multiply quotient a and divisor, then subtract from dividend: $\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}$
Multiply quotient b and divisor, then subtract from new dividend: $\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}$
Multiply quotient c and divisor, then subtract from new dividend: $\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}$
Write remainder: $\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}$

Please excuse the bad handwriting.

4 0

2 years ago

Polynomials

drek231 [11]

D is the correct answer according to my calculations so try D first

8 0

4 years ago

Solve the systems by the addition method 2x + y = - 1x - 2y = - 4

inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

---------------------

5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

---------------------

0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

6 0

3 years ago

What 2 numbers multiply to make -30 and combine to make -7? ____and____ Help PLEASEE

alisha [4.7K]

Answer:

-10 and 3

Step-by-step explanation:

-10 x 3 = -30

-10 + 3 = -7

8 0

3 years ago

Read 2 more answers

I dont understand....

kati45 [8]

Answer:

Step-by-step explanation:

me to

8 0

3 years ago

How to solve this question​

How to solve this question