Question

Multiply and simplify: (2x - 5)(3x2 + 5x - 7).
A)
5x2 + 5x - 12
B)
6x3 + 5x + 35
C)
6x3 - 5x2 - 11x + 35
D)
6x3 - 5x2 - 39x + 35

Answer 1

Its always good to take this kind of problem in steps!

First focus on just the 2x in the (2x-5)
distribute this 2x to every term in the (3x^2+5x-7) =6x^3+10x^2-14x
now distribute -5 to every term in the (3x^2+5x-7)= -15x^2-25x+35
now you can add your two new equation together = 6x^3-5x^2-39x+35
The correct answer is D!

just remember when you have a term like 2x and you multiply by another term like 3x^2 you want to multiply coefficients but add the like x terms! And always remember that when there's a negative present as there was in (2x-5) you need to multiply each term by that negative!