Square Trinomials

Square Trinomials - 4 x 2 20 x + 25 = (2 x 5) 2 Example 2...

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Square Trinomials Recall that  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  x 2  – 20  x  + 25 a square trinomial? If so, factor it into the square of some binomial.  x 2  = (2  x ) 2 and 25 = (–5) 2 and –20  x  = 2(2  x )(–5)  So it is a square trinomial, which factors as follows.
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Unformatted text preview: 4 x 2 20 x + 25 = (2 x 5) 2 Example 2 Is x 2 + 10 x + 9 a square trinomial? x 2 = ( x ) 2 and 9 = 3 2 but 10 x 2( x )(3) So it is not a square trinomial. But x 2 + 10 x + 9 is factorable. x 2 + 10 x + 9 = ( x + 1)( x + 9)...
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