P3 Chapter 1 Algebraic Methods
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7
3
=
2 +
1
3
dividend
divisor
quotient
remainder
RECAP: Terminology
dividend
divisor
quotient
remainder
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1
2
3
4
5
6
7
Simplify the following fractions.
8
Bro Tip: When you have a fraction within a fraction, multiply the top and bottom of the outer fraction by the denominator of the inner one.
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Test Your Understanding
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Exercises
1g
1i
1j
1l
1n
Exercise 1B
Exercise 1A
1a
1g
1i
1j
1k
1o
Exercise 1C
1b
1c
1g
1k
1l
1n
1o
1q
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x + 5
6x3 + 28x2 – 7x + 15
6x2
6x3 + 30x2
– 2x2 – 7x
- 2x
– 2x2 – 10x
3x + 15
+ 3
3x + 15
0
The Anti-Idiot Test:
You can check your solution by expanding (x+5)(6x2 – 2x + 3)
RECAP: Algebraic Division
x - 4
2x3 – 5x2 – 16x + 10
2x2
2x3 – 8x2
3x2 – 16x
+ 3x
3x2 – 12x
-4x + 10
– 4
-4x + 16
-6
Find the remainder.
Q: Is (x-4) a factor of 2x3 – 5x2 – 16x + 10?
Test Your Understanding
Alternative Method: Remainder Theorem
RECAP
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Alternative Method: Remainder Theorem
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Q
Test Your Understanding
Q
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Exercise 1D
Express the following improper fractions in ‘mixed’ number form by:
i) Using long division ii) Using the remainder theorem.
a
c
e
g
h
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