Question

Factor the trinomial 6x² + 5x - 25. Which of the following is a factor?

O (3x + 5)
O (2x - 5)
O (3x - 5)
O (2-25)

Answer 1

(3x - 5 )

(2x + 5)

Explanation:

f(x) = 6x² + 5x - 25

Let's factor it:-

We need 2 numbers whose product = ( 6*-25) = -150 and whose sum = + 5.

These are 15 and -10. So we write:

f(x) = 6x^2 + 15x - 10x - 25

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

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

So the factors are (3x - 5) and (2x + 5)