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May 20, 2013

# Homework Help: math

Posted by Kevin on Wednesday, December 14, 2011 at 7:52pm.

Find all roots of P(x)= X^4 - 7/2 X^3 + 6x^2 -28x -16

• math - Steve, Wednesday, December 14, 2011 at 11:34pm

Quartics are g=hard to solve, so look for rational roots, if any, where the numerator must be among

±1 ±2 ±4 ±8 ±16

A little synthetic division yields

P(x) = (x-4)(x + 1/2)(x^2+8)

I guess you can find the roots from there...

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