Determine the factors of x^3 + 11^2-3x-33

(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.