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| PAGE: 273 | SET: Exercises | PROBLEM: 49 |
The polynomial is 
.
Find the factors.
(Original equation)
(Subtract 
from each side)
(Apply additive inverse property: 
)
Here 
and 
.
First table:
Factor of  |
Sum of  |
 |
 |
 |
 |
 |
 |
 |
 |
Second table:
(Write the pattern)
(Substitute 
and 
)
(Group terms with common factors)
(Factor the G.C.F)
(Distributive property: 
)
or 
(Apply zero productive property: 
)
or 
(Simplify)
Solutions are 
or 
.
Check solution for 
-values.
Case (i):
(Original equation)
(Substitute )
(Evaluate powers: 
)
(Multiply)
(Substitute: 
)
(Simplify)
Case (ii):
(Original equation)
(Substitute )
(Evaluate powers: 
)
(Multiply)
(Substitute: 
)
Solutions are or .
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