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The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for...

Factorise: (x-2)(x+4)(x-1)

Set equal to 0: (x-2)(x+4)(x-1) = 0

Points are (2,0) (-4,0) (1,0)

What we require to plot this graph are the following: the general shape of the graph, the intercepts with the x and y axes and the maximum point/minimum point. All functions with x² as the high...

When an equation has two or more variables, for example and x and y, more than one equation is need to solve it.  The number of equations needs is equal to the number of variables you have.  For example, ...

This depends entirely on the gradient of the function, which is calculated as (dy/dx).

At (dy/dx)= 0, the function is neither increasing nor decreasing, since the gradient is zero. The max number o...