Multiply Polynomials
-$$( x + 6 ) \left( x ^ { 2 } + 8 x - 5 \right)$$
A) $x ^ { 3 } + 14 x ^ { 2 } + 43 x - 30$
B) $x ^ { 4 } + 6 x ^ { 3 } + 8 x ^ { 2 } + 43 x - 30$
C) $x ^ { 3 } + 14 x ^ { 2 } + 53 x - 30$
D) $x ^ { 3 } + 14 x ^ { 2 } + 53 x + 30$

Question

Quizplus · Accepted Answer

To multiply the polynomials $(x + 6)(x^2 + 8x - 5)$, distribute each term in the first polynomial across the second polynomial: $x(x^2 + 8x - 5) + 6(x^2 + 8x - 5)$. This simplifies to $x^3 + 8x^2 - 5x + 6x^2 + 48x - 30$, which further simplifies to $x^3 + 14x^2 + 43x - 30$.

Multiply Polynomials - (x+6)(x2+8x−5)( x + 6 ) \left( x ^ { 2 } + 8 x - 5 \right)(x+6)(x2+8x−5)

Multiply Polynomials
- $( x + 6 ) \left( x ^ { 2 } + 8 x - 5 \right)$