Factorise completely x − 4 x^3
= x(1-4x^2)From difference of two squares method,= x(1-2x)(1+2x)
CT
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Consider the function f (x) = (2/3) x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient: (a) find f'(x) and f''(x) and (b) if you know that f(x) has a stationary point at x = 2, use this information to find b.