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a) To show (x+2) is a factor, we want to show f(-2)=0. So (-2)^3-2(-2)^2 -29(-2)-42=-8-8+58-42=0
b) Divide  x^3 -2x^2-29x-42 by x+2 to get x^2-4x-21 which we factorise to get (x+3)(x-7). Hence f(x)=(...

This question is suited to A2 maths students, particularly those who are doing further maths and may be looking for a challenge. In one question it tests the students ability to use implicit differentiati...

Firstly we need to understand what the question is asking us to do. Factorise means we need to take out the Highest Common Factor (HCF) that each term can be divided by.The two terms in this question is 3...

First we have to find the first derivative of f(x), we do this using the quotient rule. Once we have obtained the first derivative, we know this gives us the rate of change of f(x), we can therefore say t...

loga12
explantion:from simples rules of logs