5.4 Factoring Polynomials Group factoring Special Cases Simplify Quotients.
Welcome! [] Factoring Special...Factoring Special Products. Factoring (Review) The process of...
Transcript of Welcome! [] Factoring Special...Factoring Special Products. Factoring (Review) The process of...
Welcome!Mrs. GillenMath 2
Last Nightโs Homework: Unit 2.1 HWTonightโs Homework: Unit 2.2 HW
Quiz: Tuesday 9/18
Warm upFactor out the greatest common factor(GCF):
1) โ2๐ฅ3 โ 16๐ฅ 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.
๐๐ โ ๐๐ = (๐ + ๐) โ (๐ โ ๐)
Factors
Factoring Differences of Two Squares
Difference of Two squares = Sum โ Difference
(a + b)(a โ b)a2 โ b2 =
Factoring ๐๐ โ ๐๐ always results in (a+b)(a-b)
Step 1: Write the two parentheses(one with a + sign & one with a - sign)
Step 2: Find ๐๐ = ๐ & ๐๐ = ๐
Step 3: Fill in parentheses / check w/FOIL
9x2 โ 16
PracticeCompletely factor the following differences of two squares.
1. ๐๐ โ ๐๐ 2. ๐๐๐ โ ๐๐
3. ๐๐ + ๐๐ 4. โ๐๐ + ๐๐
Detecting & Factoring Perfect Squares
x2 - 4x + 4 is a Perfect Square Trinomial
Second TermFirst Term Third Term
x2 = x ๐ = 24x = 2(x)(2)a2 b22ab
x2 โ 4x + 4 = ๐ โ ๐ ๐ โ ๐
๐๐ ยฑ ๐๐๐ + ๐๐ = ๐ ยฑ ๐ ๐