Factoring (With GCF and "a" greater than 1)

Front

What is factoring in algebra?

Back

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

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides all terms in an expression.

Front

How do you find the GCF of two or more numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in all lists.

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to identify the coefficients of the quadratic expression in the form ax^2 + bx + c.

Front

How do you factor a quadratic expression when 'a' is greater than 1?

Back

You can use the method of grouping or find two numbers that multiply to ac and add to b.

Front

What is the factored form of x^2 - 10x + 24?

Back

(x - 4)(x - 6) is the factored form of x^2 - 10x + 24.

Front

What is the factored form of 2x^2 + 11x + 5?

Back

(2x + 1)(x + 5) is the factored form of 2x^2 + 11x + 5.

Front

What is the GCF of the expression 15x^3 + 25x^2 - 5?

Back

The GCF of the expression is 5.

Front

What is the definition of GCF?

Back

The GCF is the biggest number or variable that all terms in an expression have in common.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Tags

CCSS.7.EE.A.1