Question

Factor the polynomial x2 2x – 3x – 6 by double grouping. Group terms with common factors: (x2 2x) (– 3x – 6) Factor the GCF from each group: x(x 2) – 3(x 2) Write the polynomial as a product of binomials:.

Answer 1

Polynomial are expressions. The factored form of the polynomial  x²-x-6 is (x-3)(x+2).

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the factored form of the given quadratic equation, we will break constant b(-1) into two parts such that the sum of the parts is -1, while their product is equal to the product of the constant a(1) and c(-6).

Therefore, the solution of the polynomial is,

$x^2-x-6\\\\=x^2+2x-3x-6\\\\=x(x+2)-3(x+2)\\\\=(x-3)(x+2)$

Hence, the factored form of the polynomial x²-x-6 is (x-3)(x+2).

Learn more about Polynomial:

brainly.com/question/17822016