Factor the polynomial and use the factored form to find the zeros. (Enter your a

Algebra
Tutor: None Selected Time limit: 1 Day

P(x) = 2x3 − x2 − 8x + 4

x = 
 

P(x) = 

1
5
(2x4 + 3x3 − 16x − 24)2
x = 
P(x) = x4 − 2x3 − 8x + 16
x = 
 
P(x) = x4 − 3x3 + 27x − 81
x = 
 
P(x) = x4 − 3x2 − 4
x = 
 

 
Mar 11th, 2015

You probably want to break these into smaller questions, or, better, post them as a single paid question - it's too much work really for a quick question I expect.

As an example, the final one:

P(x) = x4 − 3x2 − 4

= (x^2 + a)(x^2 + b)

[ where ab = -4 and a+b = -3, so a = 1, b = -4 ]

= (x^2 + 1)(x^2 - 4)

x^2 = -1 or x^2 = 4 

So x = +/- i or +/- 2 are the zeros. 

Mar 11th, 2015

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