Precalc0006to0010-page13

Precalc0006to0010-pa - (Section 0.7 Factoring Polynomials 0.7.8 h Apply the Difference of Two Squares formula a 16 = x 2 4 x4 x2 2 4 2 x b twice 2

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Unformatted text preview: (Section 0.7: Factoring Polynomials) 0.7.8 h) [ Apply the Difference of Two Squares formula a ( 16 = x 2 + 4 x4 ( x2 ) 2 ( 4) 2 ) ( x) )( b ) twice: ( 2) 2 )( = x2 + 4 x + 2 x 2 i) 2 4 2 prime ( x2 b = (a + b)(a 2 ) Use Factoring by Grouping: ( )( = a ( a 3) + 2b ( a = ( a + 2b) ( a 3) ) 3) a 3 3a + 2 a 2 b 6b = a 3 3a + 2 a 2 b 6b 2 2 2 j) 4 x 2 + 9 y 2 is prime. The GCF = 1, and we have no formula for the Sum of Two Squares (for now…; this will change when we discuss imaginary numbers in Section 2.1). k) Apply the Sum of Two Cubes formula a + b = 3 (a + b) 3 "Expected factor" a ab + b 2 2 : NOT 2 ab The visible signs follow the pattern: same, different, "+" ( x + 125 y = ( x + 5 y ) x 3 ( x) l) 3 3 (5 y) 2 5 xy + 25 y 2 ) 3 Apply the Difference of Two Cubes formula a 3 3 b= (a b) "Expected factor" a + ab + b 2 2 NOT + 2 ab The visible signs follow the pattern: same, different, "+" x 3 ( x )3 125 y = ( x 3 (5 y) 3 ( 5 y ) x + 5 xy + 25 y 2 2 ). § : ...
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This document was uploaded on 12/29/2011.

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