(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the value of m and n, where m and n are integer, so that P(x) = x^{3}+ mx^{2}– nx - 3m and

Q(x) = x^{3}+ (m – 2) x^{2}–nx – 3n have common quadratic factor.

2. Relevant equations

3. The attempt at a solution

Is m = n = 0 one of the solution?

If m = n = 0,then :

P(x) = x^{3}= x^{2}(x)

Q(x) = x^{3}- 2x^{2}= x^{2}(x-2)

Can I say that they have common quadratic factor, which is x^{2}?

The point is : Am I right to say x^{3}can be be factorized to x^{2}x or even (x) (x) (x) ?

Thanks

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# Homework Help: Common quadratic factor

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