TODAY IN ALGEBRA 2.0…

Warm Up: Zeros in Factored Form

Learning Goal 1: 4.4 You will solve quadratics in factored form.

Independent Practice

WARM UP: Factor then solve the following quadratic equations.

1. 2.

(𝑥−8 ) (𝑥−8 )=0

64

−16

∗+¿−𝟖 −𝟖

(𝑥−8 )=0 (𝑥−8 )=0

(𝑥−5 ) (𝑥−6 )=0

30

−11

∗+¿−𝟓 −𝟔

(𝑥−5 )=0 (𝑥−6 )=0

REMEMBER WHY FACTORED FORM IS IMPORTANT…

Below is the graph

ZEROS:

We can rewrite the equation using the zeros:

This is what you called FACTORED FORM.

𝑥=−4

Where the graph goes through the x-axis

𝑥=2

*Notice the signs inside the parenthesis are opposite…

4.4 FACTORING QUADRATICS IN STANDARD FORMTRINOMIAL FACTORING RULES:

If then

If then

If then

If then

Factored form have the same signs.

Factored form have the different signs.

4.4 FACTORING QUADRATICS IN STANDARD FORMEXAMPLE: Factor then solve the following quadratic equations.1. 2.

(3 𝑥−2 ) (2 𝑥−1 )=0(3 𝑥−2 )=0 (2𝑥−1 )=0

−

−−4 𝑥2

1

2 𝑥3 𝑥

−3 𝑥

¿−7 𝑥

(3 𝑥+8 ) (𝑥−1 )=0(3 𝑥+8 )=0 (𝑥−1 )=0

+¿−

8 𝑥8

1

𝑥3 𝑥

−3 𝑥

¿5 𝑥

4.4 FACTORING QUADRATICS IN STANDARD FORMEXAMPLE: Factor then solve the following quadratic equations.1. 2.

(5 𝑥−2 ) (𝑥−3 )=0(5 𝑥−2 )=0 (𝑥−3 )=0

−

−−2 𝑥2

3

𝑥5 𝑥

−15 𝑥

¿−17 𝑥

(3 𝑥−1 ) (𝑥+7 )=0(3 𝑥−1 )=0 (𝑥+7 )=0

+¿−

21 𝑥7

1

3 𝑥𝑥

−1 𝑥

¿20 𝑥

4.4 FACTORING QUADRATICS IN STANDARD FORMEXAMPLE: Factor then solve the following quadratic equations.1. 2.

(2 𝑥+3 ) (𝑥+4 )=0(2 𝑥+3 )=0 (𝑥+4 )=0

+¿+¿ 3 𝑥3

4

𝑥2 𝑥

8 𝑥

¿11𝑥

(3 𝑥+2 ) (𝑥−4 )=0(3 𝑥+2 )=0 (𝑥−4 )=0

+¿−

2 𝑥2

4

𝑥3 𝑥

−12 𝑥

¿−10 𝑥

4.4 FACTORING QUADRATICS IN STANDARD FORMEXAMPLE: Factor then solve the following quadratic equations.1. 2.

(3 𝑥+2 ) (5 𝑥−4 )=0(3 𝑥+2 )=0 (5𝑥−4 )=0

+¿−

10 𝑥2

4

5 𝑥3 𝑥

−12 𝑥

¿−2𝑥

(9 𝑥+5 ) (𝑥−2 )=0(9 𝑥+5 )=0 (𝑥−2 )=0

+¿−

5 𝑥5

2

𝑥9 𝑥

−18 𝑥

¿−13 𝑥

IN CLASS WORK #4:

Solving Quadratics in Factored Form

Previous Assignments:

#1: Graphing Quadratics in Standard Form WS #1#2: Graphing Quadratics in Vertex Form WS #2#3: Solving Quadratics in Factored From WS #3