Factoring Polynomials

Front

What is the factored form of the polynomial x^2 + 15x + 36?

Back

(x + 3)(x + 12)

Front

How do you factor the expression 8r^3 + 16r^2 using the GCF?

Back

8r^2(r + 2)

Front

What is the relationship between FOIL and factoring?

Back

If FOIL is multiplying, FACTORING is dividing.

Front

Factor the polynomial x^2 + 8x - 9 completely.

Back

(x - 1)(x + 9)

Front

When factoring a trinomial, what do you find two numbers that ______ to the middle number?

Back

add

Front

When factoring a trinomial, what do you find two numbers that ______ to the last number?

Back

multiply

Front

What is the first step in factoring a polynomial?

Back

Look for the greatest common factor (GCF).

Front

What does it mean to factor a polynomial completely?

Back

To express it as a product of irreducible polynomials.

Front

What is the factored form of the polynomial x^2 - 5x + 6?

Back

(x - 2)(x - 3)

Front

What is the difference between factoring and expanding a polynomial?

Back

Factoring breaks down a polynomial into simpler components, while expanding multiplies them out.