9-2 Factoring Using the Distributive Property

Objectives:1) Students will be able to factor polynomials using the

distributive property2) Solve quadratic equations

Grouping• Grouping is a factoring technique used when a

polynomial contains four or more terms.• Steps for factoring by grouping (based on a

polynomial of four terms)– 1) group terms with common factors (separate the

polynomial expression into two separate expressions)

– 2) factor the GCF out of each expression– 3) rewrite the expression using the distributive

property (factor into a binomial multiplied by a binomial)

Directions: Use grouping to factor the expression completely.1) 2)

3) 4)

5) 6)

Try these.7) 8)

9) 10)

Let’s try some more examples.Use grouping to factor each expression.1) 2)

3) 4)

Try these.5) 6)

7) 8)

9)

• Take a look at this equation.

• What value(s) of x would make this equation true? How do you know?

• {-3, 2}

• When an equation is completely factored, set each factor equal to 0 and solve.

Solve the equation.1) 2)

3) 4)

Try these.5)

6)

7)

• When an equation is not completely factored, try factoring it. – Bring all terms to one side of the equation and

have it set equal to 0.– Factor.– Set each factor equal to 0 and solve.

Solve the equation.8) 9)

Try this. 10)

11)

Try this.12)

13)

Try this.14)