Question

The next 2 options are:

Answer 1

Answer:

A: This quadratic expression can be factored by finding the correct pair of binomial factors

B: 4x + 5

B: 2x - 3

Step-by-step explanation:

8x² - 2x - 15 can only be factorised by finding a correct pair of binomial factors because 15 and 8 are not a perfect square.

Thus,

To find the correct pair, find the 2 numbers that would give us -120 (8*15) when multiplied, and would also give us -2 when added together.

(-12) × (+10) = -120

(-12) + (+10) = -2

-12 and +10 would be the factors to use. Thus, let's factorised as follows:

8x² - 2x - 15

8x² - 12x + 10x - 15

(8x² - 12x) + (10x - 15)

Look for common factors

4x(2x - 3) +5(2x - 3)

(4x + 5)(2x - 3)