Question

Which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping
a. x2(x + 11) + 3(x – 11)
b.x2(x – 11) – 3(x – 11)
c. x2(x + 11) + 3(x + 11)
d. x2(x + 11) – 3(x + 11)

Answer 1

We have to determine the factors of the given polynomial

$x^3+11x^2-3x-33$ by grouping.

Let us take common factors from first, second term and third, fourth terms by grouping the terms.

Since, we can observe that $x^2$ is common from the first and second term and '-3' is common from the third and fourth term.

$= x^2(x+11)-3(x+11)$

Therefore, Option D is the correct answer.