Math home work help(factoring)?

1) x^4-3x^3+2x-6

Group:

(x^4-3x^3)+(2x-6)

Factor out the common factors:

x^3 (x - 3) + 2 (x - 3)

Use the distributive property:

(x - 3) (x^3 + 2)

The remaining cubic doesn't factor in rational numbers, so presumably you're finished.

2) 4x^3-2x^2-6x+3

Group:

(4x^3-2x^2)-(6x-3)

Factor out the common factors:

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

Use the distributive property:

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

The remaining quadratic doesn't factor in rational numbers, so presumably you're finished.

3) y^2(y+2)-2(y+2)

Use the distributive property:

(y+2) (y^2 -2)

The remaining quadratic doesn't factor in rational numbers, so presumably you're finished.

4) y^2-6y+2y-12

Group:

(y^2-6y)+(2y-12)

Factor out the common factors:

y (y - 6) + 2 (y - 6)

Use the distributive property:

(y - 6) ( + 2)

5) x^3+2x^2+x+2

Group:

(x^3+2x^2)+(x+2)

Factor out the common factor:

x^2 (x + 2) + (x + 2)

Use the distributive property:

(x + 2) (x^2 + 1)

The remaining quadratic doesn't factor in real numbers, so presumably you're finished.

6) y^3-4y2+2y-8

Group:

(y^3-4y^2)+(2y-8)

Factor out the common factors:

y^2 (y - 4) + 2 (y - 4)

Use the distributive property:

(y - 4) (y^2 + 2)

The remaining quadratic doesn't factor in real numbers, so presumably you're finished.

I could give you the answers but try checking out khan academy.com theyve got tips and videos on everything math related including factoring. And i still use that site for help in my calculus class .