1.0 link Rainbow Dash Network http://rainbowdash.net/ Gherkin ☑️ (thelastgherkin) http://rainbowdash.net/thelastgherkin http://rainbowdash.net/notice/1510101 @<span class="vcard"><a href="http://rainbowdash.net/user/131" class="url" title="Elliot"><span class="fn nickname">ecmc</span></a></span> Part c. We divide f(x) by (x+2), which is a factor as we know from part a. This gives us the expression (4x^2 - 8x +3). So we whack that into the expression given in the question to get (2x^2 + x - 6) / (4x^2 - 8x +3)(x+2). We can simplify it further than that! (2x^2 + x - 6) can be simplified into (2x - 3)(x + 2). (4x^2 - 8x + 3) can be simplified into (2x - 3)(2x -1). The expression becomes (2x - 3)(x + 2) / (2x - 3)(x + 2)(x + 2). We do this: (̶2̶x̶ ̶-̶ ̶3̶)̶(̶x̶ ̶+̶ ̶2̶)̶ / (̶2̶x̶ ̶-̶ ̶3̶)̶(̶x̶ ̶+̶ ̶2̶)̶(x + 2), giving us a final answer of 1/(x + 2).