Determine greatest factor and write each polynomial in factored form.

Hey guys,

The task: Determine the greatest common factor in the terms of the given expression and write each polynomial in factored form.

1.

30x^2y - 24xy^3

my answer:

Greatest common factor of 30 and 24 is 6.

Factored form = 6xy (5x - 4y^2)

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) ???

Thank you.

Re: Determine greatest factor and write each polynomial in factored form.

Quote:

Originally Posted by

**ford2008** Hey guys,

The task: Determine the greatest common factor in the terms of the given expression and write each polynomial in factored form.

1.

30x^2y - 24xy^3

my answer:

Greatest common factor of 30 and 24 is 6.

Factored form = 6xy (5x - 4y^2)

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) ???

Thank you.

Good job on the first problem. It is correct.

For the second one I need some feedback. Is it

If so, then factor what common terms are in the numerators (there are none in this case) and find the common terms for the denominator (which will be 2x).

-Dan

Re: Determine greatest factor and write each polynomial in factored form.

No it is ½ax + ½bx + ½cx. What is the common factor in this case? ½ or 1.

Re: Determine greatest factor and write each polynomial in factored form.

Each term has the common factor ½*x*, so pull that out.

Re: Determine greatest factor and write each polynomial in factored form.

So, then in task 1 the greatest common factor should be 6xy or just 6???

Re: Determine greatest factor and write each polynomial in factored form.

The greatest common factor in task 1 is 6*xy*.

Re: Determine greatest factor and write each polynomial in factored form.

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?