Find the product.
-$11 x ^ { 7 } \left( 5 x ^ { 7 } - 10 x ^ { 5 } - 11 \right)$
A) $55 x ^ { 14 } - 110 x ^ { 12 } - 121 x ^ { 7 }$
B) $55 \mathrm { x } ^ { 14 } - 110 \mathrm { x } ^ { 12 }$
C) $55 x ^ { 7 } - 110 x ^ { 5 } - 121$
D) $55 x ^ { 14 } - 10 x ^ { 5 } - 11$

Question

Quizplus · Accepted Answer

When multiplying polynomials, distribute the term outside the parentheses across each term inside the parentheses and apply the rule for multiplying powers (add the exponents for powers of the same base). $11x^7 \times 5x^7 = 55x^{14}$, $11x^7 \times -10x^5 = -110x^{12}$, and $11x^7 \times -11 = -121x^7$.

Find the Product 11x7(5x7−10x5−11)11 x ^ { 7 } \left( 5 x ^ { 7 } - 10 x ^ { 5 } - 11 \right)11x7(5x7−10x5−11)

Find the Product $11 x ^ { 7 } \left( 5 x ^ { 7 } - 10 x ^ { 5 } - 11 \right)$