Which binomial expressions are factors of 4x3+9x2−x−6? Select each correct answer.
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Factors are (x + 1), (x + 2) and (4x - 3)
Step-by-step explanation:
Now, 4x³ + 9x² - x - 6
= 4x³ + 4x² + 5x² + 5x - 6x - 6
= 4x² (x + 1) + 5x (x + 1) - 6 (x + 1)
= (x + 1) (4x² + 5x - 6)
= (x + 1) {4x² + (8 - 3) x - 6}
= (x + 1) {4x² + 8x - 3x - 6}
= (x + 1) {4x (x + 2) - 3 (x + 2)}
= (x + 1) (x + 2) (4x - 3)
∴ the factors are (x + 1), (x + 2) & (4x - 3).
Remark:
To solve this type of factorizations, put a value "p" of "x" for which the expression becomes zero (0). Then take that value (x - p) as a factor and solve as done for you.
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0
Answer:
idk
Step-by-step explanation:
idk
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