welcome! [] factoring special...factoring special products. factoring (review) the process of...
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Welcome!Mrs. GillenMath 2
Last Nightβs Homework: Unit 2.1 HWTonightβs Homework: Unit 2.2 HW
Quiz: Tuesday 9/18
Warm upFactor out the greatest common factor(GCF):
1) β2π₯3 β 16π₯ 2) 45x + 3y
Simplify: Solve:
3) 124 4) -24
-5
Factoring (Review)The process of breaking a polynomials down into smaller parts, that are called factors. This can be thought of as reversing multiplication.
ππ β ππ = (π + π) β (π β π)
Factors
Factoring Differences of Two Squares
Difference of Two squares = Sum β Difference
(a + b)(a β b)a2 β b2 =
Factoring ππ β ππ always results in (a+b)(a-b)
Step 1: Write the two parentheses(one with a + sign & one with a - sign)
Step 2: Find ππ = π & ππ = π
Step 3: Fill in parentheses / check w/FOIL
9x2 β 16
PracticeCompletely factor the following differences of two squares.
1. ππ β ππ 2. πππ β ππ
3. ππ + ππ 4. βππ + ππ
Detecting & Factoring Perfect Squares
x2 - 4x + 4 is a Perfect Square Trinomial
Second TermFirst Term Third Term
x2 = x π = 24x = 2(x)(2)a2 b22ab
x2 β 4x + 4 = π β π π β π
ππ Β± πππ + ππ = π Β± π π