Factoring review

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor a polynomial completely?

Back

To factor a polynomial completely, first find the GCF of all terms, then factor it out, and continue factoring the remaining polynomial until no further factoring is possible.

Front

Factor the expression completely: 3x^2 + 18x + 15

Back

3(x + 5)(x + 1)

Front

What is the GCF of the expression 8x^2 + 16x - 12?

Back

4

Front

Factor the expression: 25x^2 - 100y^2

Back

(5x - 10y)(5x + 10y) (Difference of squares)

Front

Factor completely: x^2 - 9

Back

(x + 3)(x - 3) (Difference of squares)

Front

Factor the expression: n^2 + 5n - 6

Back

(n - 1)(n + 6)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.

Front

What does it mean for a polynomial to be prime?

Back

A polynomial is considered prime if it cannot be factored into the product of two non-constant polynomials.

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).