# Math Help - Help factorising these please :(

1. ## Help factorising these please :(

1) y=1/4x^4-3/2x^2+2x

2) y=1/4x^4+1/3x^3-x^2

3) y=x^3+x^2-x

Thanks a lot

EDIT: nvm- figured it.

2. what is ur problem u do not know how to factorize or u have a problem in factorizing, show some work I will solve the first one

$\displaystyle y = \frac{x^4}{4} - \frac{3x^2}{2} + 2x$

all terms contains x or a power of x so we will take x as a common factor

$\displaystyle y = (x)\left(\frac{x^4}{4x} - \frac{3x^2}{2x} + \frac{2x}{x} \right)$

$\displaystyle y = (x)\left(\frac{x^3}{4} - \frac{3x}{2} + \frac{2}{1} \right)$

end

3. I would take out a " $\frac{1}{4}$ to get
$\frac{1}{4}x(x^3- 6x+ 8)$
but it can be shown that the remaining cubic has no factors with rational or integer coefficients.