Perform the indicated operation.
-$$( 9 x - 1 ) \left( x ^ { 2 } - 7 x + 1 \right)$$
A) $9 x ^ { 3 } - 62 x ^ { 2 } + 2 x - 1$
B) $9 x ^ { 3 } - 63 x ^ { 2 } + 9 x + 1$
C) $9 x ^ { 3 } + 64 x ^ { 2 } - 16 x + 1$
D) $9 x ^ { 3 } - 64 x ^ { 2 } + 16 x - 1$

Question

Quizplus · Accepted Answer

To solve this, distribute each term in the first polynomial across the second polynomial: $9x(x^2) - 9x(7x) + 9x(1) - 1(x^2) + 7x - 1$, which simplifies to $9x^3 - 63x^2 + 9x - x^2 + 7x - 1$, and further simplifies to $9x^3 - 64x^2 + 16x - 1$.

Perform the Indicated Operation (9x−1)(x2−7x+1)( 9 x - 1 ) \left( x ^ { 2 } - 7 x + 1 \right)(9x−1)(x2−7x+1)

Perform the Indicated Operation $( 9 x - 1 ) \left( x ^ { 2 } - 7 x + 1 \right)$