Multiply.
-$7 x ^ { 4 } \left( 4 x ^ { 6 } + 6 x ^ { 3 } - 2 \right)$
A) $28 x 10 + 6 x ^ { 3 } - 2$
B) $28 x ^ { 6 } + 42 x ^ { 3 } - 14$
C) $28 x ^ { 10 } + 42 x ^ { 7 }$
D) $28 x ^ { 10 } + 42 x ^ { 7 } - 14 x ^ { 4 }$

Question

Quizplus · Accepted Answer

When multiplying polynomials, you distribute the term outside the parenthesis across each term inside the parenthesis and add the exponents for terms with the same base. So, $7x^4(4x^6 + 6x^3 - 2) = 28x^{10} + 42x^7 - 14x^4$.

Multiply - 7x4(4x6+6x3−2)7 x ^ { 4 } \left( 4 x ^ { 6 } + 6 x ^ { 3 } - 2 \right)7x4(4x6+6x3−2)

Multiply
- $7 x ^ { 4 } \left( 4 x ^ { 6 } + 6 x ^ { 3 } - 2 \right)$