Question

Multiply.

(x - 6)(3x^2 + 10x - 1)

A) 3x^3+ 10x^2 - x
B) 3x^3 - 8x^2 - 61x + 6
C) 3x^3 + 10x^2 - 60x + 6
D) 3x^3 - 18x^2 + 10x^2 + 6

Answer 1

Expand the following:
(x - 6) (3 x^2 + 10 x - 1)
Hint: | Multiply out (x - 6) (3 x^2 + 10 x - 1).
| | | | x | - | 6
| | 3 x^2 | + | 10 x | - | 1
| | | | -x | + | 6
| | 10 x^2 | - | 60 x | + | 0
3 x^3 | - | 18 x^2 | + | 0 x | + | 0
3 x^3 | - | 8 x^2 | - | 61 x | + | 6:
Answer: 3 x^3 - 8 x^2 - 61 x + 6 Thus B: