If - 2x²+5-8 is multiplied by 4x-9, what is the coefficient of x in the resulting polynomial?

A) - 77

B) - 45

C) - 32

D) - 13

-8x³+18x²-12x+27

Step-by-step explanation:

-2x²-3 (4x-9)

-2x² x 4x = - 8x³

-2x² x - 9=18x²

-3 x 4x = - 12x

-3 x - 9 = 27

-8x³+18x²-12x+27

-77 assuming you meant to write - 2x^2+5x-8 instead of - 2x^2+5-8

Step-by-step explanation:

You could multiply it out and see ...

(-2x^2+5x-8) (4x-9)

(-2x^2) (4x-9) + (5x) (4x-9) + (-8) (4x-9)

-8x^3+18x^2+20x^2-45x-32x+72

-8x^3+38x^2-77x+72

Coefficient of x^3 is - 8

Coefficient of x^2 is 38

Coefficient of x is - 77

Constant term is 72