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**ally79** hi there, just need some clarification on one point, i'll post the whole question and show you what i've done so far.

a. The polynomial 2x^3-5x^2+46x+87 has one real factor (2x+3) and two complex factors.

By algebraic division and solving a quadratic equation find the compex factors and express the above polynomial in the form 2x^3-5x^2+46x+87 = (2x+3)(x-a)(x-b) where a and b are complex numbers.

b. Calculate the gradient of the curve y=2x^3-5x^2+46x+87 at the point where it crosses the x axis

c. Show by differentiation and solving a quadratic equation that there are no points on the above curve where the gradient is 0.

The answers i got for a were (2x+3)(x-(2+j5)(x-(2-j5)

The answer i got for b was 74.5

Its part c that i'm not sure of, how can i tell the gradient never equals 0?

Any help is apprecciated!