Question

Multiply the polynomial expressions below.

(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15

Answer 1

A. 14x⁴ - 18x³ + 43x² + 24x - 15

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms
• Expanding

Explanation:

Step 1: Define expression

(7x + 5)(2x³ - 4x² + 9x - 3)

Step 2: Expand

1. Distribute 7x: 14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)
2. Distribute 5: 14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15
3. Combine like terms: 14x⁴ - 18x³ + 43x² + 24x - 15