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Factoring Polynomials

Factoring Polynomials. Factoring means to express it as a product. Example: 12a 2 b – 8ab 2. Step 1 -What is the GCF ( G reatest C ommon F actor) ?. GCF = 4 a b. Step 2 – Divide EACH term by the GCF. 1 st factor. ( 12a 2 b – 8ab 2 ) ÷ 4 a b. 2 nd factor. ( 3a . - 2b).

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Factoring Polynomials

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  1. Factoring Polynomials

  2. Factoring means to express it as a product

  3. Example: 12a2b – 8ab2 Step 1 -What is the GCF (Greatest Common Factor) ? GCF = 4 a b Step2 – Divide EACH term by the GCF 1st factor (12a2b – 8ab2)÷4 a b 2nd factor ( 3a - 2b) Step 3 – Check your answer by multiplying the 2 factors does (3a – 2b)(4ab) = 12a2b - 8ab2 Step 4 – Write your answer using the 2 factors. The factors of 12a2b-8ab2 are(3a – 2b) and (4ab)

  4. Factor (5x2y2+15x3y2-10x4y) Step 1 -What is the GCF (Greatest Common Factor) ? GCF = 5x2y Step2 – Divide EACH term by the GCF (5x2y2+15x3y2-10x4y) ÷ 5x2y 1st factor ( y + 3xy – 2x2) 2nd factor Step 3 – Check your answer by multiplying the 2 factors does (5x2y)(y + 3xy – 2x2) = 5x2y2+15x3y2-10x4y Step 4 – Write your answer using the 2 factors. The factors of (5x2y2 +15x3y2-10x4y) are (5x2y) (y + 3xy – 2x2)

  5. Practice  Copy each question first. Then ,find the factors using the method you just learned. After you find the factors, you must then verify by multiplication 3x2 + 6x 8y3 -4y2 5p3 -15p2 24m2n + 16mn2 12a2b2 + 18a3b2 9m4n2 – 6m3n3 + 12m2n4 -28x2y3 -35x3y2 51x2y +39xy2-72xy -2x5+4x2-6x+2x3 3x2y3 -9x3y4+12x3y2 3x (x+2) 4y2 (2y-1) 5p2(p-3) 8mn(3m+2n) 6a2b2(2+3a) 3m2n2(3m2-2mn+4n2) -7x2y2(4y+5x) 3xy(17x+13y-24) -2x(x4-2x+3-x2) 3x2y2(y-3xy2+4x)

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