# Factoring binomials

Factoring binomials
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Slide 1: Slide
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This lesson contains 30 slides, with interactive quizzes, text slides and 1 video.

## Items in this lesson

Factoring binomials
You need your Ipad and your notebook

#### Slide 1 -Slide

Today
Start (5 min)
New subject (25 min)
Bettermarks (20 min)
Exercise together (10 min)
Bettermarks (15 min)
End lesson (5 min)

f(x)=3x2+4x+3

f(x)=3x2+4x+3
x=2ab ±b24ac

#### Slide 6 -Slide

Find a, b and c in the formula
f(x)=3x2+4x+3
timer
1:00

f(x)=3x2+4x+3
x=2ab ±b24ac
a=3
b=4
c=3

#### Slide 8 -Slide

Solving with the quadratic formula
f(x)=3x2+4x+3

#### Slide 9 -Slide

Solving with the quadratic formula
0=3x2+4x+3

#### Slide 10 -Slide

Solving with the quadratic formula
0=3x2+4x+3
x=2ab ±b24ac

#### Slide 11 -Slide

Solving with the quadratic formula
0=3x2+4x+3
x=2ab ±b24ac
a=3
b=4
c=3

#### Slide 12 -Slide

Solving with the quadratic formula
0=3x2+4x+3
x=2ab ±b24ac
a=3
b=4
c=3
x=2 34 ±424 3  3

#### Slide 13 -Slide

Solving with the quadratic formula

or

0=3x2+4x+3
x=2ab ±b24ac
a=3
b=4
c=3
x=2 34 ±424 3  3
x=64+52
x=6452

#### Slide 14 -Slide

Solving with the quadratic formula

or
or
0=3x2+4x+3
x=2ab ±b24ac
a=3
b=4
c=3
x=2 34 ±424 3  3
x=64+52
x=6452
x  0,54
x  1,87

#### Slide 15 -Slide

Remove the brackets
m(m3)
timer
0:45
A
2m3
B
m23
C
m23m
D
2m3m

#### Slide 16 -Quiz

Remove the brackets
m(m3)

#### Slide 17 -Slide

Quadratic formulas
c = 0
y=4x28x+12
y=x2+25x
y=x2
y=9x213
y=5x2+2x
y=x2+9x
y=3x212x
y=x2x

#### Slide 18 -Slide

13.2: Factoring binomials
You can factorize (=make brackets) a formula  if c = 0. You have to find the biggest number and letter, that is a divisor of both terms

Example: Factor
You can divide both            and           by

Answer:
y=6x2+4x
6x2
4x
2x
y=2x(3x+2)
6x2 : 2x=3x
4x : 2x=2
timer
4:00

Example
Factor
16x212x

Factor
18p2+3p
timer
1:30

#### Slide 21 -Open question

7.2 Solving equations
Example: Solve

Step 1, factorize:
Step 2, make two equations:                                    or
Step 3, use the balance method:                            or
Step 4, answer:                                                                or
15m2+6m=0
3m(5m+2)=0
3m=0
5m+2=0
m=0
5m=2
m=52
m=0
timer
3:00

#### Slide 22 -Slide

Example
Solve
2p2+7p=0

#### Slide 23 -Slide

Solve the equation
2x2+8x=0
timer
2:30

#### Slide 24 -Open question

Solve the equation
2x2+8x=0

#### Slide 25 -Slide

Bettermarks
• Work on 13.2
• 20 min
• Raise your finger if you have any questions or when you're finished
• Communicate in English please
timer
20:00

#### Slide 26 -Slide

Question together
Ipads on the corner of the table

13.2 Question 16

Question 15

#### Slide 29 -Slide

Bettermarks
• Work on 13.2
• Until the end of the lesson
• Raise your finger if you have any questions or when you're finished
• Communicate in English please