Question: Given that f(x) = (x 10)(x 2 2x) + 12x a. Express f(x) in the form x(ax 2 + bx + c) where

Given that f(x) = (x – 10)(x2 – 2x) + 12x

a. Express f(x) in the form x(ax2 + bx + c) where a, b and c are real constants.

b. Hence factorise f(x) completely.

c. Sketch the graph of y = f(x) showing clearly the points where the graph intersects the axes.

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