# 2TH §11.2 Factorising binomials 2

Plan for today
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Refresh: Factorising binomials
Homework: §11.2: Exercises S14, 15 and S17
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Slide 1: Slide
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This lesson contains 16 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

## Items in this lesson

Plan for today
Entry ticket
Refresh: Factorising binomials
Homework: §11.2: Exercises S14, 15 and S17
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Entry ticket

#### Slide 3 -Slide

Recap: factorising terms
You can factorise terms like this:

30x2=235xx
22a3=211aaa
12b=223b

#### Slide 4 -Slide

Binomials and Trinomials
A formula like                                 is called a binomial
(bi = 2, the formula has 2 terms)

A formula like                                           is called a trinomial
(tri = 3, the formula has 3 terms)
y=3x2+6x
y=x2+7x+10

#### Slide 5 -Slide

Largest common factor
A common factor is a factor that two terms have in common.

are common factors for the two terms.

The largest common factor of these terms is
12x2=223xx=4x3x
8x=222x=4x2
4x
2,4,2x,4x

#### Slide 6 -Slide

Factorising binomials
You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor:

y=9x221x

#### Slide 7 -Slide

What is the largest common factor of
and
9x2
21x
A
3
B
3x
C
6x
D
9x2

#### Slide 8 -Quiz

Factorising binomials
You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor:                              &
2) make a multiplication table. Fill in the binomial inside the table and the largest common factor in the left column.
3) Fill in the missing factors

y=9x221x
9x=3x3x
21x=73x

#### Slide 9 -Slide

Factorising binomials
You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor:                            &
2) make a multiplication table. Fill in the binomial inside the table and the largest common factor in the left column.
3) Fill in the missing factors
4) Write as a product of factors

y=9x221x
9x=3x3x
21x=73x

#### Slide 10 -Slide

Factorising binomials
You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor:                              &
2) make a multiplication table. Fill in the binomial inside the table and the largest common factor in the left column.
3) Fill in the missing factors
4) Write as a product of factors

y=9x221x
9x=3x3x
21x=73x
y=3x(3x7)

#### Slide 11 -Slide

Try it out
Factorise the binomial

a=24t2+16t

#### Slide 12 -Slide

Factorise the binomial

a=24t2+16t

#### Slide 13 -Open question

Try it out
Factorise the binomial

Solution:

a=24t2+16t
a=8t(3t+2)

#### Slide 14 -Slide

Homework
Check the planning
What exercises do you need to complete?
Refresh: Exercises R1 until R9
§11.1 Exercises 3, 4, 6, 7, 8
§11.2 Exercises S14, 15 and S17 (C3 if you like a challenge)

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