Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x

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Presentation transcript:

Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x 15x3, 25x2, 55x

Factoring using GCF

Dividing a Polynomial by a Monomial Steps Divide the coefficients Subtract the exponents of common variables

Examples: Divide. 1. 5x - 35 2. 6x + 12 7 6 3. 6x2 + 4x 4. 9b2 – 15b 2x 3b

Examples: Divide. 5. 10x2y2 + 5xy 6. 27x2 – 21y2 5xy 3 7. 16x + 24xy 8. 4x3 + 2x2 – 6x 8x 2x

GCF Factoring Factoring is the reverse of multiplying. It is similar to dividing. So when we are factoring out the GCF of a polynomial, we will divide each term by the GCF.

Examples: Factor. 1. 9x + 45 2. 7x2 – 21x 3. 18x6 + 12x3 4. 15x3 – 25x2 + 55x

Examples: Factor. 5. -2m4 + 14m2 – 6m 6. -5x2y + 35xy 7. -2x2 + 10x – 6 8. -12x2y2 + 32xy3

Classwork/Homework