Find the product.
-$$5 x ^ { 6 } \left( 12 x ^ { 7 } + 8 x ^ { 5 } \right)$$
A) $100 x ^ { 6 }$
B) $60 x ^ { 13 } + 8 x ^ { 5 }$
C) $60 x ^ { 13 } + 40 x ^ { 11 }$
D) $100 x ^ { 13 } + 100 x ^ { 11 }$

Question

Quizplus · Accepted Answer

When multiplying polynomials, distribute the term outside the parenthesis across each term inside the parenthesis and apply the rule for multiplying powers (add exponents for the same base). Thus, $5x^6 \times 12x^7 = 60x^{13}$ and $5x^6 \times 8x^5 = 40x^{11}$, making the correct product $60x^{13} + 40x^{11}$.

Find the Product 5x6(12x7+8x5)5 x ^ { 6 } \left( 12 x ^ { 7 } + 8 x ^ { 5 } \right)5x6(12x7+8x5)

Find the Product $5 x ^ { 6 } \left( 12 x ^ { 7 } + 8 x ^ { 5 } \right)$