Question

Simplify (x − 3)(x2 + 7x − 8).

a x3 − 11x2 − 8x + 24
b x3 + 7x2 − 11x + 24
cx3 + 4x2 − 29x + 24
d x3 + 10x2 + 13x + 24

Answer 1

(x - 3)(x^2 + 7x - 8) =
x(x^2 + 7x - 8) - 3(x^2 + 7x - 8) =
x^3 + 7x^2 - 8x - 3x^2 - 21x + 24 =
x^2 + 4x^2 - 29x + 24 <==

Answer 2

option C

Explanation:

The given expression is ( x - 3 ) ( x² + 7x - 8 )

Now we will solve this expression.

(x-3) (x² + 7x - 8)

x² (x-3) + 7x (x-3) -8 ( x-3) [ dstribution law ]

x³ - 3x² + 7x² - 21x - 8x + 3

x³ + 4x² - 29x + 3

Therefore, option C is the answer.