Polynomial are expressions. The factored form of the polynomial x²-x-6 is (x-3)(x+2).
<h3>What are polynomial?</h3>
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)\\](https://tex.z-dn.net/?f=x%5E2-x-6%5C%5C%5C%5C%3Dx%5E2%2B2x-3x-6%5C%5C%5C%5C%3Dx%28x%2B2%29-3%28x%2B2%29%5C%5C%5C%5C%3D%28x-3%29%28x%2B2%29%5C%5C)
Hence, the factored form of the polynomial x²-x-6 is (x-3)(x+2).
Learn more about Polynomial:
brainly.com/question/17822016