Answer:
(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.
