(-x+4)(3x^2-2x-7)

Jasonbradley

less than a minute read

·

Jun 16, 2024

17

Share

Multiplying Polynomials: (-x + 4)(3x² - 2x - 7)

This article will guide you through the process of multiplying the two polynomials: (-x + 4) and (3x² - 2x - 7).

Understanding the Process

We can use the distributive property to multiply these polynomials. This means multiplying each term in the first polynomial by each term in the second polynomial.

Steps for Multiplication

1. Distribute the first term of the first polynomial:

   • -x * (3x² - 2x - 7) = -3x³ + 2x² + 7x

2. Distribute the second term of the first polynomial:

   • 4 * (3x² - 2x - 7) = 12x² - 8x - 28

3. Combine the results from steps 1 and 2:

   • (-3x³ + 2x² + 7x) + (12x² - 8x - 28)

4. Combine like terms:

   • -3x³ + 14x² - x - 28

Final Result

Therefore, the product of (-x + 4) and (3x² - 2x - 7) is -3x³ + 14x² - x - 28.