ALGEBRA 2, 2012
49

 PAGE: 273 SET: Exercises PROBLEM: 49

The polynomial is .

Find the factors.

(Original equation)

(Subtract from each side)

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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