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Cherish Pineda
10 January, 05:43
Determine the factors of x^3 + 11^2-3x-33
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Luna
10 January, 09:03
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(x²-3) and (x+11)
Step-by-step explanation:
The main method to find the factors of a polynomial is factoring.
To factor x³+11x²-3x-33 rewrite the expression as:
(x³+11x²) - (3x+33) and factor each piece individually:
To factor x³+11x² find the GCF (x²) and factor it out to find:
⇒ x² (x+11)
Next in 3x+33 the GCF is 3, factor to find:
⇒ 3 (x+11)
And substitute both in the original expression to find that:
x³+11x²-3x-33=x² (x+11) - 3 (x+11)
And factor the GCF x+11:
⇒ (x²-3) (x+11)
And since these polynomials can be multiplied by each other to find the given polynomial they must be factors.
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