Greatest Common Factor?

Question

1.What is the GCF for the polynomial 12x^3y^2 - 20x^5y^3?

2.What is the GCF for the polynomial 8x^4y + 6x^2y^2?

3.What is the GCF for the polynomial -10x^3y^4 - 16x^5y^2?

4.What is the GCF for the polynomial 4x^3 - 2x^2y?

5.Factor the expression by taking out the GCF.

3x - 9x^3

6.What is the GCF?

16a^4b^2 + 20a^2b^2 - 4ab^2

7.What is the GCF?

-24a^2b^3c^4 - 36a^4b^3c^2

Answer 1

GCF is the largest term common to both the numbers.  Therefore:

1. The GCF is 4x^3y^2.  So factoring yields 4x^3y^2(3 - 5x^2y)

The rest of the GCFs are:

2. 2x^2y

3. 2x^3y^2

4. 2x^2

5. GCF is 3x, factoring yields 3x(1-3x^2)

6. 4ab^2

7. I don't think a GCF can be negative, so 12a^2b^3c^2

Answer 2

1    4x^3y^2

2.     2x^2y^2

3.     -2x^3y^2

4.      2x^2

5.      3x(1-3x^2)

6.      4ab^2

7.       -12a^2b^3c^2

Answer 3

1. GCF is 4x^3y^2

2. GCF is 2x^2y

3. GCF is -2x^3y^2

4. GCF is 2x^2

5. GCF is 3x(1-3x^2)

6. GCF is 4ab^2

7. GCF is -12a^2b^3c^2

Answer 4

1 4x^3y^2

2. 2x^2y^2

3. -2x^3y^2

4. 2x^2

5. 3x(1-3x^2)

6. 4ab^2

7. -12a^2b^3c^2