Question

Multiply the polynomial expressions (2x2−3)(x+5) .(1 point) Responses 3x2+7x−15 3 x squared plus 7 x minus 15 2x3+10x2−3x−15 2 x cubed plus 10 x squared minus 3 x minus 15 3x3+10x2−3x−15 3 x cubed plus 10 x squared minus 3 x minus 15 2x2−3x−15

Answer 1

To multiply the polynomial expressions \((2x^2 - 3)(x + 5)\), we will use the distributive property (FOIL method for binomials).

1. **Distribute \(2x^2\)**:
- \(2x^2 \cdot x = 2x^3\)
- \(2x^2 \cdot 5 = 10x^2\)

2. **Distribute \(-3\)**:
- \(-3 \cdot x = -3x\)
- \(-3 \cdot 5 = -15\)

Now, we combine all the terms:

\[
2x^3 + 10x^2 - 3x - 15
\]

So, the result of multiplying \((2x^2 - 3)(x + 5)\) is:

**\(2x^3 + 10x^2 - 3x - 15\)**

The correct response from the options you provided is:

**2x³ + 10x² - 3x - 15**