exam Maths Puzzle Numerical Ability

what are the rational zeros and other zeros
What are the linear factors
f(x)=3x4-4x3+x2+6x-2

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I'd be greatful if someone can give me some guidance on this question.

A particular harmonic drive for use ina robot jointed arm has one less tooth on the flexible spline than o Question:
I have an equation and forgot how to solve for x:

50 + 5X = 120 + 3x

can you please explain? I am feeling like a big dummy. I know this is very basic. Thanks.