All Methods of Factoring

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common. It is used to simplify expressions and solve equations.

Front

What is the Difference of Squares?

Back

The Difference of Squares is a factoring method used for expressions in the form a² - b², which can be factored as (a - b)(a + b).

Front

How do you factor a trinomial of the form ax² + bx + c?

Back

To factor a trinomial, look for two numbers that multiply to ac and add to b. Rewrite the middle term using these numbers and factor by grouping.

Front

What is the purpose of factoring by grouping?

Back

Factoring by grouping is used when an expression has four or more terms. It involves grouping terms in pairs and factoring out the common factors.

Front

Factor the expression: 20x³ - 28x² - 15x + 21

Back

(4x² - 3)(5x - 7)

Front

Factor the expression: 6r² - 60r

Back

6r(r - 10)

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the Greatest Common Factor (GCF) of all the terms in the polynomial.

Front

What is the result of factoring 25x² - 16?

Back

(5x - 4)(5x + 4) using the Difference of Squares method.

Front

Factor the expression: 12p³ + 28p² - 42p - 98

Back

2(2p² - 7)(3p + 7)