. How does knowing that factoring is opposite of expanding help you factor the polynomial such as

Question

-4x2+38x-48? Explain

Answer 1

at one point they must have expanded
-2(2x^2 - 19x + 24) to get -4x^2 + 38x - 48

at one point they must have expanded
(2x - 3)(x - 8) to get (2x^2 - 19x + 24)

so
-4x^2 + 38x - 48
= -2(2x^2 - 19x + 24)
= -2(2x - 3)(x - 8)

I assume you know how to factor
2x^2 - 19x + 24 to get (2x - 3)(x - 8)