chalizekerley5513 chalizekerley5513
  • 25-09-2020
  • Mathematics
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Binomial(−4x−6) and trinomial(−3x2+5x+6) are the factors of what polynomial? Question

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jimrgrant1 jimrgrant1
  • 25-09-2020

Answer:

12x³ - 8x² - 54x - 36

Step-by-step explanation:

The polynomial is the product of the factors, that is

(- 4x - 6)(- 3x² + 5x + 6)

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

- 4x(- 3x² + 5x + 6) - 6(- 3x² + 5x + 6) ← distribute both parenthesis

= 12x³ - 20x² - 24x + 18x² - 30x - 36 ← collect like terms

= 12x³ - 8x² - 54x - 36

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