Factorizing Algebraic Expressions Worksheet Page 10
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18the quadratic formula. Note that a = 1, b = 5, and c = 3.
2
5 ±
5
4(1)(3)
x =
2(1)
√
5
13
=
±
2
2
so that the two roots are
√
√
5 +
13
5
13
k
=
and k
=
1
2
2
2
Then
√
√
5 +
13
5
13
2
+ 5x + 3 = (x
)(x
)
x
2
2
2
Example 2 : Factorize 2x
5.
x
2
Note that a = 2, b = 1, and c = 5. Then the solutions to 2x
5 = 0 are
x
√
2
4ac
b ±
b
x =
2a
2
1 ±
( 1)
4 × 2 × ( 5)
=
2 × 2
√
1 ±
41
=
4
2
So the two factors of 2x
5 are
x
√
√
1 +
41
1
41
(x
)
and
(x
)
4
4
and so the factorization is
√
√
1 +
41
1
41
2
2x
x
5 = 2 x
x
4
4
This right hand side of this equation should be expanded before it is believed!
Page 10
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education