Factoring

Front

What is factoring in algebra?

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 are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

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

Back

To factor a quadratic expression, look for two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the expression using these numbers.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions before factoring.

Front

What is the first step when factoring polynomials?

Back

Find the GCF (Greatest Common Factor) of the terms in the polynomial.

Front

Factor the expression k² + 7k + 10.

Back

(k + 2)(k + 5)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

Factor the expression x² + 7x - 30.

Back

(x + 10)(x - 3)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a - b)(a + b).

Front

Factor the expression d² - 10d + 25.

Back

(d - 5)(d - 5) or (d - 5)².