(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a) Find the remainder when [tex]P(x)=2x^4-7x^3+ax^2+3x-9[/tex] is divided by [tex]2x-1[/tex]

b) If the remainder, when [tex]P(x)[/tex] is divided by [tex]x+2[/tex], is 17, find the value of a.

2. Relevant equations

If a polynomial [tex]P(x)[/tex] is divided by [tex](x-a)[/tex], the resultant is [tex](x-a)Qx+R(x)[/tex]

3. The attempt at a solution

For a) I substituted [tex]x=\frac{1}{2}[/tex] into the equation and resulted with [tex]P(\frac{1}{2})=\frac{a-33}{4}[/tex]

For b) I'm unsure what to do with the fact that I now have [tex]P(\frac{1}{2})=\frac{a-33}{4}[/tex] and [tex]P(-2)=17[/tex].

A nudge in the right direction would be greatly appreciated

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# Homework Help: Polynomial Remainders

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