Question

Use the Distributive Property to multiply the following polynomials: 3x2(2x4−15x)
.(1 point)
3x2(2x4−15x)=

Answer 1

To apply the Distributive Property to multiply the polynomial \( 3x^2(2x^4 - 15x) \), you will distribute \( 3x^2 \) to both terms in the parentheses.

1. Multiply \( 3x^2 \) by \( 2x^4 \):
\[
3x^2 \cdot 2x^4 = 6x^{2+4} = 6x^6
\]

2. Multiply \( 3x^2 \) by \( -15x \):
\[
3x^2 \cdot -15x = -45x^{2+1} = -45x^3
\]

Now, combine the results:
\[
3x^2(2x^4 - 15x) = 6x^6 - 45x^3
\]

Thus, the final result is:
\[
\boxed{6x^6 - 45x^3}
\]