Linear Sentences in One Variable
Factoring Polynomials
Recall that
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Therefore, if a trinomial is of the form ( x)2 + 2( x)( y) + ( y)2, it can be factored into the square of a binomial.
Example 1: Is 4
x2 − 20
x + 25 a square trinomial? If so, factor it into the square of some binomial.
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So it is a square trinomial, which factors as follows.
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Example 2: Is
x2 + 10
x + 9 a square trinomial?
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So it is not a square trinomial. But
x2 + 10
x + 9 is factorable.
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