Give a polynomial division that has a quotient of x+5 and a remainder of -2.

amanf
2021-03-06
Answered

Discuss the following situation by computation or proving. Make sure to show your complete solution.

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

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coffentw

Answered 2021-03-07
Author has **103** answers

Step 1

Given:

Give a polynomial division that has a quotient of x + 5 and a remainder of -2.

Step 2

Let the polynomial is:

$\Rightarrow {x}^{2}+10x+23$

Dividing above polynomial by x+5:

$\frac{x+5}{\Rightarrow x+5}({x}^{2}+10x+23)$

$\pm {x}^{2}+-5x$

$5x+23$

$\pm 5x\pm 25$

-2

So,${x}^{2}+10x+23$ , that has a quotient of x+5 and remainder of -2.

Given:

Give a polynomial division that has a quotient of x + 5 and a remainder of -2.

Step 2

Let the polynomial is:

Dividing above polynomial by x+5:

-2

So,

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