Multiply.
- $10 x ^ { 3 } \left( 5 x ^ { 4 } + 12 x ^ { 3 } + 2 \right)$
A) $50 x ^ { 7 } + 120 x ^ { 6 } + 20 x ^ { 3 }$
B) $50 x ^ { 7 } + 12 x ^ { 3 } + 2$
C) $50 x ^ { 4 } + 120 x ^ { 3 } + 20$
D) $50 x ^ { 7 } + 120 x ^ { 6 }$

Question

Multiply.
-  $10 x ^ { 3 } \left( 5 x ^ { 4 } + 12 x ^ { 3 } + 2 \right)$
A) $50 x ^ { 7 } + 120 x ^ { 6 } + 20 x ^ { 3 }$
B) $50 x ^ { 7 } + 12 x ^ { 3 } + 2$
C) $50 x ^ { 4 } + 120 x ^ { 3 } + 20$
D) $50 x ^ { 7 } + 120 x ^ { 6 }$

Quizplus · Accepted Answer

When multiplying polynomials, each term in the first polynomial is multiplied by each term in the second polynomial. Here, $10x^3$ is multiplied by each term inside the parentheses, resulting in $50x^{7} + 120x^{6} + 20x^{3}$, since the exponents add when multiplying like bases.

Multiply - 10x3(5x4+12x3+2)10 x ^ { 3 } \left( 5 x ^ { 4 } + 12 x ^ { 3 } + 2 \right)10x3(5x4+12x3+2)

Multiply
- $10 x ^ { 3 } \left( 5 x ^ { 4 } + 12 x ^ { 3 } + 2 \right)$