Factoring Polynomials

Front

What is the first step when factoring polynomials?

Back

Find the GCF (Greatest Common Factor)

Front

Factor: 9x² - 6x - 8

Back

(3x + 2)(3x - 4)

Front

Factor: x² - 49

Back

(x + 7)(x - 7)

Front

Factor: 5x² - 28x + 32

Back

(5x - 8)(x - 4)

Front

Factor: n² - 13n + 40

Back

(n - 5)(n - 8)

Front

What does GCF stand for in factoring?

Back

Greatest Common Factor, the largest factor shared by all terms.

Front

What is a polynomial?

Back

An expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the difference of squares?

Back

A² - B² = (A + B)(A - B), a special factoring case.

Front

How do you factor a trinomial of the form x² + bx + c?

Back

Find two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

What is the factored form of x² + 5x + 6?

Back

(x + 2)(x + 3)