Get out your binders!

You will be able to solve quadratics by factoring using GCF.You will be able to solve quadratics by factoring when .

Today’s Objectives:

Warm UpUsing the given function below…a) Find the y-intercept, the axis of

symmetry, and the vertexb) Make a tablec) Graph the function

d) State whether the function has a minimum or maximum

e) Find the value of the min/maxf) Find the roots

4.3 Solve by Factoring

FactorA factor is a number that is multiplied with another number to get a product.

𝟔×𝟑=𝟏𝟖

FACTOR FACTOR

FactorA factor is a number that is multiplied with another number to get a product.Find the factors of 20:Think: which TWO numbers can be multiplied together to get a product of 20?

Greatest Common Factor

We’re here!

Greatest Common FactorFind numbers and variables that can be factored out of every term in the expression—"factoring" means "dividing out and putting in front of the parentheses".

Nothing "disappears" when you factor; things merely get rearranged.

Greatest Common FactorYou will use the GCF to …

1. FACTOR equations, and

2. SOLVE equations

We will begin with FACTORING.

Greatest Common FactorFactor the following equations.1.

2.

3.

4.

5.

You Try!FACTOR the following equations.

1.

Zero PropertyThe zero property is used to solve for . If multiple terms multiplied together equal zero, you can separate each term, set each equal to 0, and solve.

Solving with GCFSolve by factoring the GCF FIRST and then using the zero property.

Solving with GCFSOLVE the following equations.

You Try!!!SOLVE the following equations.

1.

Factoring when a=1

We’re here!

Factoring when a=1Factoring a trinomial is the opposite of FOIL.

Factoring when a=1

𝒙𝟐−𝟐 𝒙−𝟏𝟓Remember that this is where is! And when you don’t see a number, it is 1!

1

Factoring when a=1

1. set up two sets of parenthesis with an in each,

2. find two factors of c that add up to equal b, then

3. write each factor in a parenthesis.

𝒙𝟐−𝟐 𝒙−𝟏𝟓Factoring when ,

Factoring when a=1FACTOR the following.1.

2.

3.

You Try!FACTOR the following.

1.

2.

Solving with a=1Solve by factoring the equation FIRST and then using the zero property.

Solving when a=1SOLVE the following.

1.

2.

3.

You Try!SOLVE the following.

1.

2.

QUICK REVIEWSOLVE the following.1.

2.

3.

4.

Ticket Out The DoorOn a 3x5 Card answer the following.

What numbers can replace the ? to make this trinomial factorable.

Solve.

Homework4.3 Worksheet—

Day 1 #’s 1-15