Multiply the polynomials.
-$( x + 12 ) \left( x ^ { 3 } + 6 x - 2 \right)$
A) $x ^ { 3 } + 18 x ^ { 2 } + 70 x - 24$
B) $x ^ { 4 } + 6 x ^ { 2 } - 2 x + 12$
C) $x ^ { 4 } + 12 x ^ { 3 } + 6 x ^ { 2 } + 74 x + 24$
D) $x ^ { 4 } + 12 x ^ { 3 } + 6 x ^ { 2 } + 70 x - 24$

Question

Quizplus · Accepted Answer

To multiply the polynomials $(x + 12)(x^3 + 6x - 2)$, distribute each term in the first polynomial across the second polynomial: $x \cdot x^3 + x \cdot 6x + x \cdot (-2) + 12 \cdot x^3 + 12 \cdot 6x + 12 \cdot (-2)$. This simplifies to $x^4 + 12x^3 + 6x^2 + 72x - 2x - 24$, which further simplifies to $x^4 + 12x^3 + 6x^2 + 70x - 24$.

Multiply the Polynomials (x+12)(x3+6x−2)( x + 12 ) \left( x ^ { 3 } + 6 x - 2 \right)(x+12)(x3+6x−2)

Multiply the Polynomials $( x + 12 ) \left( x ^ { 3 } + 6 x - 2 \right)$