8-3 Factoring x2 + bx + c - Math Slide Show

Lesson 8-3 (cont.)Factor.1) x 2 + 8x + 725) t + 6t+5(x + 1)(x + 7)1•7 (t + 1)(t + 5)1•52) x 2 −14x + 24(x − 2)(x −12)1•242•123•84•66) x 2 − 4x− 45(x + 5)(x − 9)1•453•155 •92 23) y 2 − 5y −14 7) a −10ab −24b1•14(y + 2)(y − 7)2•7 (a + 2b)(a −12b)4) x 2 + 3x −10 8) x 2 −13xy +12y 21•10(x + 5)(x − 2)2•5 (x −1y)(x −12y)1•242•123•84•61•122•63•4Factoring PolynomialsFive Types of Factoring1) Greatest Monomial Factor (Group)2) Trinomial Factoring :3) Trinomial Factoring :4) Perfect Square Trinomial5) Difference of Squares2x + bx+c2ax + bx + cFactor completely.1) 3x 2 + 21x + 363(x 2 + 7x+12) Greatest Monomial Factor3(x + 3)(x + 4 ) 1•122 •6 Factoring x 2 + bx + c3• 44 22) 2x − 18x + 3642(x − 9x + 18) Greatest Monomial Factor2 21•182(x − 3)(x −6) Factoring x 2 + bx + c2•93•6Factor completely.3) y 3 − 5ay 2 + 6a 2 yy(y 2 − 5ay + 6a 2 ) Greatest Monomial Factory( y − 2a)(y − 3a) 1•62 • 3Factoring x 2 + bx + c6 4 24) 2a − 24a + 70a2 4 22a (a − 12a + 35) Greatest Monomial Factor2 2 21•352a (a − 5 )(a − 7 ) Factoring x 2 + bx + c5•7Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2010