How to factor x^3 - 4x^2 - 9x + 36 by grouping
2 answers:
Answer:
(x-4) (x-3) (x+3)
Step-by-step explanation:
x^3 - 4x^2 - 9x + 36
Make 2 groups
x^3 - 4x^2 - 9x + 36
We can factor out x^2 from the first group and -9 from the second group
x^2 (x-4) - 9(x-4)
Now factor out (x-4)
(x-4) (x^2 -9)
This may be an answer choice but we can still factor
(x^2 -9) is the difference of squares
(x^2-9) = (x-3) (x+3)
Replacing this
(x-4) (x-3) (x+3)
Answer:
(x - 4)(x - 3)(x + 3)
Step-by-step explanation:
x³ - 4x² - 9x + 36
x²(x - 4) - 9(x - 4)
(x - 4)(x² - 9)
(x - 4)(x² - 3²)
(x - 4)(x - 3)(x + 3)
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Step-by-step explanation:
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