Factoring Polynomials and GCF

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to whole number powers and coefficients. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers or terms.

Front

How do you find the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6, as it is the largest number that divides both 12 and 18.

Front

Factor the polynomial: 2n^2 - 8n^3

Back

2n^2(1 - 4n^2)

Front

What is the first step in factoring a polynomial?

Back

The first step is to identify and factor out the GCF from all the terms in the polynomial.

Front

Factor the expression: 16xy - 24y

Back

8y(2x - 3)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states: a^2 - b^2 = (a + b)(a - b).

Front

Factor completely: 121x^2 - 49

Back

(11x + 7)(11x - 7)

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b, then express it as (x + m)(x + n) where m and n are those numbers.

Front

Factor the expression: x^2 + 7x - 30

Back

(x + 10)(x - 3)