Question 914222
I'm going to use the <a href="http://www.mathsisfun.com/algebra/polynomials-remainder-factor.html">remainder theorem</a>. Look where it says "When we divide a polynomial f(x) by x-c the remainder r equals f(c)". You have to scroll down a bit on that page.


Let {{{p(x) =  x^3 - 3x +4}}}


Since we're dividing by {{{x+2}}}, which is in the form {{{x-k}}} where {{{k = -2}}}, we're going to plug in {{{x = -2}}}


{{{p(x) =  x^3 - 3x +4}}}


{{{p(-2) =  (-2)^3 - 3(-2) +4}}}


{{{p(-2) =  -8 +6 +4}}}


{{{p(-2) =  -2 +4}}}


{{{p(-2) =  2}}}


So the remainder is actually 2.


Therefore, the initial claim is <font color="red">false</font>.


Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,


Jim