Question

Multiply

5, x, left parenthesis, 3, x, squared, plus, 2, x, minus, 7, right parenthesis5x(3x
2
+2x−7)

Answer 1

To multiply \( 5x \) by the expression \( (3x^2 + 2x - 7) \), we will distribute \( 5x \) to each term inside the parentheses.

1. Multiply \( 5x \) by \( 3x^2 \):
\[
5x \cdot 3x^2 = 15x^{3}
\]

2. Multiply \( 5x \) by \( 2x \):
\[
5x \cdot 2x = 10x^{2}
\]

3. Multiply \( 5x \) by \( -7 \):
\[
5x \cdot (-7) = -35x
\]

Now, combine all the results:
\[
15x^3 + 10x^2 - 35x
\]

So, the final result is:
\[
\boxed{15x^3 + 10x^2 - 35x}
\]