# Factoring trinomials

Factoring trinomials
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Slide 1: Slide
WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 23 slides, with interactive quizzes and text slides.

## Items in this lesson

Factoring trinomials

#### Slide 1 -Slide

Today
• Start (5 min)
• New subject (20 min)
• Bettermarks (20 min)
• End lesson (5 min)

#### Slide 2 -Slide

Recap last lesson
13.2: Factoring binomials

Factor:
15p2+10p

Factor:
10r2+14r
timer
1:00

#### Slide 4 -Open question

Recap 13.2 Factoring binomials
Factor:
10r2+14r

#### Slide 5 -Slide

Recap 13.2 Factoring binomials
Factor:

Solve:
10r2+14r
10r2+14r=0

Solve:
4x2+7x=0
timer
2:00

Solve:
4x2+7x=0

#### Slide 8 -Slide

Find a, b and c in the formula
12x25x+17
timer
1:00

#### Slide 9 -Open question

Note 13.3: Factoring trinomials
When factoring trinomials you are going to use the product-sum method. You need to find two numbers whose product (multiplied) is c and whose sum (added) is b.

Example: Factor

So
x2+29x+100
425=100
4+25=29
x2+29x+100=(x+4)(x+25)
timer
4:00

#### Slide 10 -Slide

Factorizing trinomials
x2+7x+10

Factor
x2+9x+8
timer
1:00

Factor
x2+9x+8

Factor
x2+19x+90
timer
1:00

Factor
x2+19x+90

Factor
x2+6x7
timer
1:00

Factor
x2+6x7

#### Slide 17 -Slide

Solving trinomials:
x2+9x+20=0

#### Slide 18 -Slide

Solving trinomials:
x2+9x+20=0
(x+4)(x+5)=0

#### Slide 19 -Slide

Solving trinomials:

or

x2+9x+20=0
(x+4)(x+5)=0
x+4=0
x+5=0

#### Slide 20 -Slide

Solving trinomials:

or
or
x2+9x+20=0
(x+4)(x+5)=0
x+4=0
x+5=0
x=4
x=5

#### Slide 21 -Slide

13.3 Factoring trinomials
Solving a trinomial using the product-sum method:
Example, solve:
Step 1: Factorize
Step 2: Make equations                                                     or
Step 3: Solve the equations                                       or

x2+9x+20=0
(x+4)(x+5)=0
x+4=0
x+5=0
x=4
x=5

#### Slide 22 -Slide

Bettermarks
• Work on 13.3
• Until the end of the lesson
• Raise your finger if you have any questions or when you're finished
• Communicate in English please