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Review: Multiplying Binomials Binomial: x + 3, 2x – 7, 5x + 8

Multiplying two binomials by FOIL method:

Review: Multiplying Binomials Ex. Multiply:

Review: Factoring Trinomials Trinomial:

Factoring a trinomial is the reverse of multiplying two binomials

Review: Factoring Trinomials

Review: Factoring Trinomials Ex. Factor

Form:

Factors of 6: 1,6 2,3 -1,-6 -2,-3

Possible Factorization Outer and Inner Terms

Review: Factoring Trinomials Ex. Factor

Review: Factoring Trinomials Factoring Trinomials where the coefficient of squared

term is not 1

Ex.

First two terms must multiply to give us

Review: Factoring Trinomials Ex.

Factors of 28 (Both negative since x term is negative and constant term is positive):

-1,-28 -2,-14 -4,-7

Now we try all combinations:

Review: Factoring Trinomials Ex.

Review: Factoring Trinomials Ex.

Solving Quadratic Equations

Methods:

1) Factoring

2) Quadratic Formula

Solving Quadratic EquationsMethod 1: Factoring

Solving Quadratic EquationsMethod 1: Factoring

Ex. Solve

1)

2)

Solving Quadratic EquationsMethod 2: Quadratic Formula

Solving Quadratic EquationsMethod 2: Quadratic Formula

Ex.

Application

Application

We chose the answer that makes sense. Age is a positive quantity!

Therefore, 26 year old women have 115 mm Hg blood pressure

Practice ProblemsPage 399

FOIL: #5, 7

Factor: #11, 15, 17, 21, 25, 29

Solve by Factoring: #37, 41, 47, 51

Solve by Quadratic Formula: #53, 61, 65

Applications: #85