Factoring and Dividing Polynomials

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Presentation transcript:

Factoring and Dividing Polynomials World 2-4 Factoring and Dividing Polynomials

HELP ME! Math students. You’re my only hope. A Factor is a whole number that divides evenly into another number. 1,2,3, & 6 The factors of 6 are… 1,2,3,4,6,12, & 24 The factors of 24 are… HELP ME! Math students. You’re my only hope.

You’ll never get all these factors. Wahahaha Why are there 60 seconds in a minute, why not 100? 1,2,3,4,5,6,10,12,15,20,30 & 60 Factors of 60: 1,2,4,5,10,20,25,50 & 100 Factors of 100: 60 has 12 factors. 100 has 9 factors. You’ll never get all these factors. Wahahaha The Babylonians realized 60 is more convenient for their number system! (More factors)

Terms GCF Bronze Silver Gold Platinum 8 16 40 8 6x2 24x3 12x4 6x2 The Greatest Common Factor (GCF) is the largest factor that divides evenly into each term. can be factored as well. Polynomials eg. 1 Complete the Table Terms GCF Bronze Silver Gold Platinum 8 16 40 8 6x2 24x3 12x4 6x2 28x2y2 14x3y2 21x2y3 7x2y2 15a6b7 3a3b5 21a6b4 3a3b4

eg. 2 Factor by pulling out the GCF 4x+6 2(2x+3) 9x-15 3(3x-5) 6x2+10x 2x(3x+5) 49x3y2 - 21x2y2 + 14x3y3 7x2y2(7x-3+2xy) 2a2b2-6ab3+4ab2 2ab2(a-3b + 2)

eg. 3 Division of a Polynomial- Divide each monomial individually 18a2 + 12ab 3a 9x3 + 6x2 + 12x 3x 6a + 4b 3x2 + 2x + 4 18x2 + 8x + 6 3 20xy5 - 15xy2 + 30x2y4 5xy 6x2 + 8x 3 + 2 4y4 - 3y + 6xy3

Homework Sorry but our princess is in another castle 