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2TH §11.2 Factorising binomials 2
Plan for today
Entry ticket
Refresh: Factorising binomials
Homework: §11.2: Exercises S14, 15 and S17
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Slide 1:
Slide
Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
This lesson contains
16 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
50 min
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Items in this lesson
Plan for today
Entry ticket
Refresh: Factorising binomials
Homework: §11.2: Exercises S14, 15 and S17
Exit ticket
Slide 1 - Slide
Entry ticket
Slide 2 - Slide
Slide 3 - Slide
Recap: factorising terms
You can factorise terms like this:
3
0
x
2
=
2
⋅
3
⋅
5
⋅
x
⋅
x
2
2
a
3
=
2
⋅
1
1
⋅
a
⋅
a
⋅
a
1
2
b
=
2
⋅
2
⋅
3
⋅
b
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
=
3
x
2
+
6
x
y
=
x
2
+
7
x
+
1
0
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
1
2
x
2
=
2
⋅
2
⋅
3
⋅
x
⋅
x
=
4
x
⋅
3
x
8
x
=
2
⋅
2
⋅
2
⋅
x
=
4
x
⋅
2
4
x
2
,
4
,
2
x
,
4
x
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
=
9
x
2
−
2
1
x
Slide 7 - Slide
What is the largest common factor of
and
9
x
2
2
1
x
A
3
B
3
x
C
6
x
D
9
x
2
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
=
9
x
2
−
2
1
x
9
x
=
3
x
⋅
3
x
2
1
x
=
7
⋅
3
x
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
=
9
x
2
−
2
1
x
9
x
=
3
x
⋅
3
x
2
1
x
=
7
⋅
3
x
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
=
9
x
2
−
2
1
x
9
x
=
3
x
⋅
3
x
2
1
x
=
7
⋅
3
x
y
=
3
x
(
3
x
−
7
)
Slide 11 - Slide
Try it out
Factorise the binomial
Take a photo of your solution in your notebook.
a
=
2
4
t
2
+
1
6
t
Slide 12 - Slide
Factorise the binomial
a
=
2
4
t
2
+
1
6
t
Slide 13 - Open question
Try it out
Factorise the binomial
Solution:
a
=
2
4
t
2
+
1
6
t
a
=
8
t
(
3
t
+
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)
Slide 15 - Slide
Exit ticket
Slide 16 - Slide
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