The task: Determine the greatest common factor in the terms of the given expression and write each polynomial in factored form.
30x^2y - 24xy^3
Greatest common factor of 30 and 24 is 6.
Factored form = 6xy (5x - 4y^2)
1/2ax + 1/2bx + 1/2cx
Is the common factor 1 or 1/2???
Factored form = 1x (1/2a + 1/2b + 1/2c) or 1/2x (a+b+c) ???
Okay, lets say I have the expression 17x^3 -51x^2
Is the greatest common factor just 17, 17x or even 17x^2
because 17(x^3 -3x^2) = 17x^3 -51x^2
and 17x(x^2 -3x) = 17x^3 -51x^2
or 17x^2(x-3) = 17x^3 -51x^2
Which is the greatest common factor in the terms of the given expression?