Posted by **michelle** on Monday, April 29, 2013 at 11:10am.

use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers:

f(x)=x^4+2x^3-7x^2-8x+12

I am totally lost, please help?

- pre calculus -
**Steve**, Monday, April 29, 2013 at 11:38am
all the rational possibilities are

±1,±2,±3,±4,±6,±12

That's a lot, but it's easy to check the small values. A little synthetic division shows that

f(x) = (x-1)(x^3+3x^2-4x-12)

= (x-1)(x-2)(x^2+5x+6)

= (x-1)(x-2)(x+2)(x+3)

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