Question

What is the factored form of 6x2 + 11x – 10?
(2x +
)(
x –
)

Answer 1

5,3,2

Explanation:

Answer 2

6 * -10 = -60
-60 = -2*2*3*5

How can we make + 11 from these factors:
3*5 - 2*2 = 15 - 4 looks good so we write

6x^2 + 15x - 4x - 10
Now factor this by grouping:-

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

so finally the factors are

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