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Tuesday, November 8 th Set up a new assignment sheet

Tuesday, November 8 th Set up a new assignment sheet. 4.3: Greatest Common Factors. Greatest Common Factor (GCF). Factors – numbers, variables, monomials or polynomials multiplied to obtain a product

neil-carroll
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Tuesday, November 8 th Set up a new assignment sheet

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  1. Tuesday, November 8th Set up a new assignment sheet 4.3: Greatest Common Factors

  2. Greatest Common Factor (GCF) • Factors – numbers, variables, monomials or polynomials multiplied to obtain a product • Greatest Common Factor (GCF) – the greatest factor shared by two or more numbers, monomials, or polynomials

  3. Greatest Common Factorsaka GCF’s Find the GCF for each set of following numbers. Find means tell what the terms have in common. Hint: list the factors and find the greatest match. 2, 6 -25, -40 6, 18 16, 32 3, 8 2 -5 6 16 1 No common factors? GCF =1

  4. Find the GCF for each set of following numbers. Hint: list the factors and find the greatest match. x, x2 x2, x3 xy, x2y 2x3, 8x2 3x3, 6x2 4x2, 5y3 Greatest Common Factorsaka GCF’s x x2 xy 2x2 3x2 1 No common factors? GCF =1

  5. Find the GCF for each set of following numbers. a) 2x + 4y 5a – 5b x – 6y 2m + 6mn 5x2y – 10xy 10y3 + 20y2 - 5y -12 – 8x2 Greatest Common Factorsaka GCF’s 2 5 1 2m 5xy 5y -4 Both negative? Factor -1

  6. Factor out the GCF for each polynomial:Factor out means you need the GCF times the remaining parts. a) 2x + 4y 5a – 5b 18x – 6y 2m + 6mn 5x2y – 10xy Greatest Common Factorsaka GCF’s 2(x + 2y) How can you check? Distribute. 5(a – b) 6(3x – y) 2m(1 + 3n) 5xy(x - 2)

  7. How can you check? Distribute. a) 2x + 4y 5a – 5b 18x – 6y 2m + 6mn 5x2y – 10xy Greatest Common Factorsaka GCF’s 2(x + 2y) 5(a – b) 6(3x – y) 2m(1 + 3n) 5pq(p - 2)

  8. FACTORING by GCF 5xy( ) 3y – 2x2 + 5y2

  9. FACTORING 2x (x3 – 4x2 + 2x – 3)

  10. When the directions say “factor”. Always try taking out a GCF first.

  11. the difference of Perfect Squares x2 – 4 = the answer will look like this: ( )( ) take the square root of each part: ( x 2)(x 2) Make 1 a plus and 1 a minus: (x + 2)(x - 2 )

  12. the difference of Perfect Squares 9x2 – 25 = the answer will look like this: ( )( ) take the square root of each part: (3x 5)(3x 5) Make 1 a plus and 1 a minus: (3x + 5)(3x - 5)

  13. FACTORING by GCF 5xy( ) 3y – 2x2 + 5y2

  14. FACTORING (x – 8)(x + 8)

  15. Homework Worksheet

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