Multiply Polynomials
-$$( 7 x - 1 ) \left( x ^ { 2 } - 4 x + 1 \right)$$
A) $7 x ^ { 3 } - 29 x ^ { 2 } + 11 x - 1$
B) $7 x ^ { 3 } - 27 x ^ { 2 } + 3 x - 1$
C) $7 x ^ { 3 } - 28 x ^ { 2 } + 7 x + 1$
D) $7 x ^ { 3 } + 29 x ^ { 2 } - 11 x + 1$

Question

Quizplus · Accepted Answer

To multiply the polynomials, distribute each term of the first polynomial across the second polynomial: $7x(x^2) - 7x(4x) + 7x(1) - 1(x^2) + 1(4x) - 1(1)$, which simplifies to $7x^3 - 28x^2 + 7x - x^2 + 4x - 1$, and further simplifies to $7x^3 - 29x^2 + 11x - 1$.

Multiply Polynomials - (7x−1)(x2−4x+1)( 7 x - 1 ) \left( x ^ { 2 } - 4 x + 1 \right)(7x−1)(x2−4x+1)

Multiply Polynomials
- $( 7 x - 1 ) \left( x ^ { 2 } - 4 x + 1 \right)$