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

Answer:

(3x - 5  )

(2x + 5)

Step-by-step 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)