GCF
What does GCF stand for?
Greatest Common Factor
(x+1)(y+1)
xy+x+y+1
( 6x^2 + 4x ) / 2x
3x + 2
mn + 5n +3m + 15
(m+5)(n+3)
(x^6)(x^2)
x^8
Find the Greatest Common Factor of 45 and 12
3
(x-1)(y+1)
xy-y+x-1
Use long division to divide:
( 10x^2 + 15x - 20 ) by 5x
(Hint: Remember Remainders?)
2x + 3 - 4/x or 2x+3- 4x^(-1)
3xy + 15x + 2y + 10
(3x+2)(y+5)
y^7 divided by y^3
y^4
Find the GCF of 15m and 20
5
(x+2)(x-4)
x^2 -2x -8
Divide:
(12xy - 16y^2 + 4y ) / (4y)
3x - 4y +1
xy - 5y + 2x - 10
Remember: Keep an eye on the positive/negative signs!
(x-5)(y+2)
(8w^9 - 5z - wz^3)+(8wz^3 +4w^9)
12w^9 + 7wz^3 - 5z
Find the GCF of 24nm^2 and 16nm
8nm
(x^2 + 5) (x - 3)
x^3 - 3x^2 +5x - 15
Use long division:
(x^2 + 6x + 5) divided by (x+1)
x + 5
a^2 + ab - ab - b^2
Remember: Keep track of your positive/negative signs!
(a-b)(a+b)
(3x^2 - 6x ) + (4x^2 - 11x)
7x^2 - 17x
Find the GCF of 50 x^2 y^3 and 30 x^5 y^3 ?
10 x^2 y^3
(y^2 - 2) (x + y)
y^3 + x y^2 -2x -2y
( x^3 + 2x^2 - 8x + 5 ) divided by (x - 1) = ?
(Hint: Long Division may be easier!)
x^2 + 3x -5
x^2 y - 3x^2 + 3y - 9
(x^2 + 3)(y-3)
(3k^2 - 8) + (-4k - 5)
3k^2 - 4k -13