Question

(x

Answer 1

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial by a linear polynomial is equal to In particular, is a divisor of if and only if

a = -2;
f(-2) = (-2)^2 -6*(-2) -16 = 4 + 12 - 16 = 0 => x-(-2) is a divisor of x^2-6x-16.

Answer 2

`(x^(2)-6x-16)/(x+2)=(x^(2)-6x-2x+2x-16)/(x+2)=(x^(2)-8x +2x-16)/(x+2)=\\ \\ = \frac {( x -8 ) +2(x-8)}{x+2}=\frac {( x -8 )(x +2)}{x+2}=x-8`