Answer:
2x(2x - 5)(2x + 3)
Step-by-step explanation:
8x³ - 8x² - 30x = 0
2x(4x² - 4x - 15) = 0 Factor out GCF (2x)
Checking to find the correct factors
Two number multiply together = -15 -5×3 or 5× -3 or -15 × 1 or 15 × -1
But the first number is 4x², so it might be 4 ×one one and 1× the other or
2 × one number and 2 ×the other.
-5 × 3 = -15 (the last term)
4(-5) + 1(3); -20 + 3 = -17 (the middle need to be -4) Not the factors
2(-5) + 2(3);-10 + 6 = -4 (the middle term is -4)
Therefore
2x(4x² - 4x - 15) = 0 Factor out GCF (2x)
2x(2x - 5)(2x +3)
