Factoring when a=1 and using GCF

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What does it mean when a=1 in a quadratic equation?

Back

When a=1 in a quadratic equation of the form ax^2 + bx + c, it simplifies the factoring process, as the leading coefficient is 1.

Front

Factor the expression: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the expression: n^2 - 13n + 40

Back

(n - 5)(n - 8)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides all the numbers in a set without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Front

Factor the expression: 7x + 21 using the GCF

Back

7(x + 3)

Front

What is the GCF of 18 and 24?

Back

6

Front

What is the first step in factoring a quadratic expression?

Back

Identify two numbers that multiply to the constant term and add to the linear coefficient.