Question

# 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.

Polynomial division
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.

2021-03-07
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.