Respuesta :

Answer:

x³ - 4x² - 16x + 24

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + 2x - 4) - 6(x² + 2x - 4) ← distribute both parenthesis

= x³ + 2x² - 4x - 6x² - 12x + 24 ← collect like terms

= x³ - 4x² - 16x + 24

A. x³ - 2x² - 16x + 24

How to Multiply Polynomials?

To multiply 2 polynomials, apply the distributive property by using each term in 1 polynomial to multiply every in the other polynomial.

How do we calculate polynomial?

  • Know how far left and right the roots may be
  • Know how many roots (the same as its degree)
  • Estimate how many may be complex, positive and negative

(x – 6)(x² + 2x – 4)

x(x² + 2x – 4) -6(x² + 2x – 4)

x³ + 2x² - 4x - 6x² - 12x + 24

Combine like terms

x³ - 2x² - 16x + 24

(x – 6)(x² + 2x – 4) equals: A. x³ - 2x² - 16x + 24

Learn more about multiplying polynomials here brainly.com/question/13128694

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