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Binomial(−4x−6) and trinomial(−3x2+5x+6) are the factors of what polynomial? Question

User Ben Bos
by
6.2k points

1 Answer

3 votes

Answer:

12x³ - 8x² - 54x - 36

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

User Abdul Muheedh
by
6.7k points
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