Notes_ Section P.4.pdf - Notes Section P.4 Factoring Polynomials What does it mean to factor a number What about a polynomial expression 48 24.3 214 In

Notes_ Section P.4.pdf - Notes Section P.4 Factoring...

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Notes: Section P.4 Factoring Polynomials What does it mean to factor a number? What about a polynomial expression? Common Factors The first step any time we factor is to check for a Greatest Common Factor (GCF) and factor it out. What is a GCF?Example 1: Find the GCF of each: a.12 & 60b. & 6x520x2Example 2: Factor using the GCF: a.x5x53− 12b. (x)(x)x2+ 1 − 2+ 14824.3Breakingapolynomial2142.24InG ginto smallerpolynomials12.4basic2gz16731.48biggestthatdividesbothsGCF1222543xtDCxZ2
Factoring Special Polynomial Forms Factored FormExample Difference of Two Squares u2v2=Perfect Square Trinomial uvu2+ 2+v2=uvu2− 2+v2=Sum or Difference of Two Cubes u3+v3=u3v3=Example 3: Factoring the difference of two squares. a.001− 4y2b. (x)− 12− 9y4c. 681x4− 1CutDCUvt813227xt9Cx9312916mi493Cxt3xt3Gm7Gmt'Dutv2Lex116164UD879y2_24ytl63ay42UtvWintr8keepsianghigange47x2481yd24gUvnwtf279364396338sy3yHy12,46391392956,144125yx11

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