Multiply.
-$( x + 9 ) \left( x ^ { 3 } + 3 x - 6 \right)$
A) $x ^ { 4 } + 3 x ^ { 2 } - 6 x + 9$
B) $x ^ { 4 } + 9 x ^ { 3 } + 3 x ^ { 2 } + 33 x + 54$
C) $x ^ { 3 } + 12 x ^ { 2 } + 21 x - 54$
D) $x ^ { 4 } + 9 x ^ { 3 } + 3 x ^ { 2 } + 21 x - 54$

Question

Quizplus · Accepted Answer

To multiply $(x + 9)(x^3 + 3x - 6)$, distribute each term in the first polynomial across each term in the second polynomial: $x \cdot x^3 + x \cdot 3x + x \cdot (-6) + 9 \cdot x^3 + 9 \cdot 3x + 9 \cdot (-6)$. This simplifies to $x^4 + 3x^2 - 6x + 9x^3 + 27x - 54$, which combines to $x^4 + 9x^3 + 3x^2 + 21x - 54$.

Multiply - (x+9)(x3+3x−6)( x + 9 ) \left( x ^ { 3 } + 3 x - 6 \right)(x+9)(x3+3x−6)

Multiply
- $( x + 9 ) \left( x ^ { 3 } + 3 x - 6 \right)$