Find the product.
-$( 6 x - 1 ) \left( x ^ { 2 } - 4 x + 1 \right)$
A) $6 x ^ { 3 } - 25 x ^ { 2 } + 10 x - 1$
B) $6 x ^ { 3 } + 25 x ^ { 2 } - 10 x + 1$
C) $6 x ^ { 3 } - 24 x ^ { 2 } + 6 x + 1$
D) $6 x ^ { 3 } - 23 x ^ { 2 } + 2 x - 1$

Question

Quizplus · Accepted Answer

To find the product, distribute each term in the first polynomial across the second polynomial: $6x(x^2) - 6x(4x) + 6x(1) - 1(x^2) + 1(4x) - 1(1)$, which simplifies to $6x^3 - 24x^2 + 6x - x^2 + 4x - 1$, and further simplifies to $6x^3 - 25x^2 + 10x - 1$.

Find the Product (6x−1)(x2−4x+1)( 6 x - 1 ) \left( x ^ { 2 } - 4 x + 1 \right)(6x−1)(x2−4x+1)

Find the Product $( 6 x - 1 ) \left( x ^ { 2 } - 4 x + 1 \right)$