# Factoring quadratic expressions - Algebra 2 4.4 Warm up...

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Unformatted text preview: Algebra 2: 4.4 Warm up from 4.3 1. Write in standard form the equation of the parabola that contains the points (0,0). (—1, —5), and (2, —2). 1.y: 2x2 I 3x 4.4 Algebra 2: 4.4 Homework 4.4 PRACTICE Do 6 interactmath exercises Highlight, copy and paste the results into an email to Mrs D. p. 221 D0# 1~9 odd, 14~54 (ﬁrst 2 columns), 58~68 (first 2 columns)‘ 73~77 (first 2 columns) Interactmathcom help available with the following exercises: 1,3, 4‘ 5. 7, 15, 17,21, 23. 26 29, 38, 53, 58, 67 4.4 4-4 ’FOC'°”“9 QUOdmhc Factoring isrewrilinganexpressionasapmduclul'ilsfacl Expressions Essential Understanding You (“an factor many quadratic trinomials (m2 + bx + r) into products oftwo binomials. You can use the Distributive Property or the FOIL method to multiply two binomials. You can use FOIL in reverse to help you factor. @) = (x. + 4)(x) + (x. + 4)(2) Use the Distributive Property. .——_——-l"" = x(.\') + 4(.\') + .\T(2) + 4(2) = 2 + 6x + 8 n F O "1:. L FOIL U76, LIX (8 ‘0—7 Wﬁ ~ , e (x (x = xii) + .\‘(_2) + 4(.\') -+- er: I: Inner; L: Last ‘ ,, l‘,, =A2+6x+8 To factor 12 + 6x + 8, thinkufFOIL in reverse. 4.4 ' Problem 'I Factoring tax2 + bx + c when a = :1 What is the expression in factored form? Dx2+9x Book Way Easier-9 oil Other Ways GCF Got It? 1. What is the expression in factored form? “ XX” a. .t'~’ + 141' + 40 b. t3 — 11x + 30 c. —.t'~’ + 141‘ + 2 Elm; )6" 5X '9‘ +30 0 37“ Facibrs Xty-5)-<o(¥‘5>§ 3,“; 5;; pm (X'QMJIQ? W“ 4.4 3 Problem 2 Finding Common Factors What is the expression in factored form? 'lhe greatest common factor (GCF) of an expression is a common factor ofthe terms in the expression. It is the common factor with the greatest coefﬁcient and the greatest exponent. You can factor any expression that has a GCF not equal to 1. q \ +31 B4§+20x—56 4.4 30? If? 2. What is the expression in factorcd form? a. 7:13 21 b. 9x3 + 9.x 13 c. v“ i +12 “3' ti L“ x“+2x+3) 4.4 Problem 3 Factoring 0x2 + bx + c when |a| at 1 02x2 +llx+12 5+6?) QM; Pr C. 2% Roda wax Qua I 3‘1 2-: 2+ g).- + 93+ (3. 2 \"[Z/ 21393) 3% :2— 3 3 3’ O X L. QM 3)<X1~H) Ga, WAG/3) 4.4 0 4r" — 4x — 3 4.4 Got '1’? 3. What is the expression in factored form? (Iheek your answers. a. 4.3 + 7x r 3 b. 2x3 7x . 6 4.4 @ l Key Concept Factoring Perfect Square 'l'rinomials “2+20b+b3:(a+b)2 (12—20b+b2:(a_b)2 a Problem 4 Factoring a Perfect Square Trinomiol \Vhatis 4x2 - 24x + 38 in factored form? Is the last term a perfect square? Is the ﬁst term a erlects uare? ' p q Yes, 36 is 62. Yes, 4:8 is (2x)2. Is the middle term twice the product of 6 and 2x? YES,206-2x= 24X There's a minus sign in the middle. You are done. You should check. 4.4 0 Got It? 4. What is 6412 i 161‘ + l in factored form? Extra Practice 4.4 4.4 Algebra 2: 4.4 Wrap up ’) 1.1"“ + 6x + 8 4.4 Name 2. x3 i 13x + 12 6. 4x ['9 3. 15-" — 8] * 4x +l ...
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