Question

6x 2 - 3x - 30 mathematics?

Answer 1

Answer:

3 (2x-5)(x+2)

Step-by-step explanation:

We are given the following quadratic expression:

$6x^2-3x-30$

and we are to solve this by factorizing.

For that, we will take 3 as a common and factorize the rest of the expression.

$6x^2-3x-30$

$3(2x^2-x-10)$

Findinf factors of $(2x^2-x-10)$ such that when multiplied they give a product of -20 and when added they give a result of -1:

$3(2x^2+4x-5x-10)\\\\3((2x(x+2)-5(x+2))\\\\3(2x-5)(x+2)$

Therefore, the factors of the given expression $6x^2-3x-30$ are $3(2x-5)(x+2)$.