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The expression can be rearranged to equal 0 by taking the 125 to the other side. To do this the opposite thing has to be done, so 125 must be subtracted to get x^3+20x^2-125=0 . All parts in this function...

everything in the first bracket should be multiplied by everything in the second individually. Then you should combine common factors to find the final answer.Starting with the first part of the 1st brack...

First we need to consider what a straight line looks like:
y = mx + c (if we get something different we've gone wrong somewhere)one way to get the equation is using a point (general point is (x_1...

First, we must find the value of x that corresponds to the stationary point, i.e. where the gradient (dy/dx) is zero. This will be in terms of 'a' (if we change 'a,' we change the shape of the function by...

We first notice it's a quadratic equation in x so we want to make one side of the equation equal to 0.By adding 15 to both sides we get : x² + 8x + 15 = 0We then look for two numbers which mul...