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120_10.2_notes

# 120_10.2_notes - Mat120 Chapter 10 Section 2 Page 3...

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Unformatted text preview: Mat120 Chapter 10 - Section 2 Page 3 Multiplying Polynomials Deﬁnitions: 1. Monomial A 2, Binomial“ M *7/‘41/‘0 71er S 3 T. .IMPWW W7L6/MS’ Multiplying Monomials: Remember the Properties of Exponents: xm-xn = K A (—35% (5x3) 2 ~8 - S - 3:6 - x3 = ~55 - 53:7‘H3 = —4€1x‘3 amen; :V Examples: 2. (4x2)(6x4) f. 4 (XL/(o'XL/11 é? 1/ >(' 7h: 6. (11x2yz4)(—3xy526) *: // x «4 8. (_9x3»yn-3)(_1x,,y2) ,: , oxen (d n —5 v __ 3 Xi’iﬂ .L 3 .‘n \ —5 5L .2 _.7(—15)><9:)<"~<4” , . —— 3X3”M‘:J”‘3”: 3x ﬂ‘Z/”“/ _.— Multiplying a Monomial times a polynomial --- Distributive Property: a(b + c) = Q E tg Q 4:77“- ~. . i _ . 1. .l Krill?“ + 3x) = — 2x3 + - M: =' 3 - 2x3” + 3 - 51"“ = (53:5 + 15.1“; 1 ,lllxirDmial' yﬂim‘mial 'y ' . 3 . ' 10. 5x2(6x+7) '2» S‘X”#Q)<+6‘><”§ 7 3 30X +5S‘XJ‘ 18. 5ab2(10a2b3+ 7ab) : 534.62“: IOQ‘; 6 3 + 5&5 91, 7a b '3 5290355 +3526 63 Mat120 Chapter 10 - Section 2 Page 4 Multiplying a binomial times a polynomial --- 2 methods Method 1: Distributive Property 24. (x+4)(x2 +5x+8) xHx +4) + 5X (x+4)+?(7<fé/l 2‘» 5#06? gm 0 x +Y‘K +39~ X3447 X'ljt—QADX'IL59— Method 2: Vertical format 2 x+2x+4 x — 2 X3+2><4+4 >Z _ i “’ ﬁll-xvi e2" y " 5’ X3”? 26. Multiplying a binomial times a binomial: Use the foil Method: last, (3;: + 2)(4x + S) = 1213 -+ 151: + 8x + 18 inaiﬁe PM Pmﬁuz, Pruduct made ﬁrst amigo fﬁ Imus , rm, , "tens. :ytém‘l‘ ~ r = 121:3 + 231 + 10 {foran like karma + \‘9/ K K/ / / 36. 0%) 46. (3i—m \. ﬂ,” Xﬁyxﬂlyﬂlo (bat—3m} -+/4”’kt& v. X9~7L15Xf40 yxlﬂlﬂ Mxyajﬂgyd 4¢¢;%;¢¢;¢;’;dat120 48. ﬁ' 56. /' (3xy — 1)(5xy + 2) 5X2} %_ 5X9 +éxg’; L 7~~7ixii a+®2 (x+4) (x+é/) X5¥x+4><+lé X"L+S/O< HQ Chapter 10 — Section 2 Multiplying Polynomials 54. (5):" —- y“><xn + 4y“) (3x--4y)2 (ax—4g) (3X~<{%) 62. QXVLIAXQ — bLXy 74??” QXJ—Jyxcj f/ég?’ ...
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