Factorizing Algebraic Expressions Worksheet Page 7
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18Exercises:
1. Factorize the following quadratics:
2
2
(a) x
+ 4x + 3
(f) x
14x + 24
2
2
(b) x
+ 15x + 44
(g) x
7x + 10
2
2
(c) x
+ 11x
26
(h) x
5x
24
2
2
(d) x
+ 7x
30
(i) x
+ 2x
15
2
2
(e) x
+ 10x + 24
(j) x
2x
15
The method that we have just described to factorize quadratics will work, if at all, only in the
2
case that the coefficient of x
is 1. For other cases, we will need to factorize by
1. Using the ‘ACE’ method, or by
2. Using the quadratic formula
The ‘ACE’ method (pronounced a-c), unlike some other methods, is clear and easy to follow,
as each step leads logically to the next. If you can expand an expression like (3x + 4)(2x
3),
then you will be able to follow this technique.
Page 7
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