Factorizing Algebraic Expressions Worksheet Page 11
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18Exercises:
1. Factorize the following quadratics using the quadratic formula:
2
2
(a) 3x
+ 2x
4
(f) 5x
+ 7x
2
2
2
(b) x
+ 3x + 1
(g) 3x
+ 5x
4
2
2
(c) 2x
+ 8x + 3
(h) 2x
+ 4x + 1
2
2
(d) 3x
+ 5x + 1
(i) 5x
+ 2x
2
2
2
(e) 3x
+ 6x + 2
(j) 2x
+ x
7
Section 6
Uses of factorization
We can use factorization of expressions in a variety of ways. One way is to simplify algebraic
fractions.
Example 1 :
2
9
(x
3)(x + 3)
x
=
3
(x
3)
x
3
x
=
× (x + 3)
3
x
= x + 3
Example 2 :
x
x
x
x
+
=
+
2
2
+ 4x + 4
x + 2
(x + 2)
x + 2
x
x + 2
x
x
=
+
×
2
(x + 2)
x + 2
x + 2
2
+ 2x
x
x
=
+
2
2
(x + 2)
(x + 2)
2
x
+ x + 2x
=
2
(x + 2)
x(x + 3)
=
2
(x + 2)
Another way of using factorization is in solving quadratic equations.
Page 11
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