Question

What is the factorization of 8x2+13x-6

Answer 1

Hope this helps.

 8x^2 +13x -6 =(8x-3)(x+2)

Answer 2

Answer:

$(x+2)(8x-3)$

Step-by-step explanation:

We have been given an expression $8x^2+13x-6$. We are asked to factor our given expression.

We will use splitting the middle term method to factor our given expression. We need to numbers whose sum is 13 and whose product is $-48$. We know such two numbers are $16\text{ and }-3$.

$8x^2+16x-3x-6$

Make two groups:

$(8x^2+16x)+(-3x-6)$

Factor out greatest common factor of each group:

$8x(x+2)-3(x+2)$

$(x+2)(8x-3)$

Therefore, the factored form of our given expression would be $(x+2)(8x-3)$.