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0x^{4}+x^{3}+x^{2}+15x
Multiply 0 and 5 to get 0.
0+x^{3}+x^{2}+15x
Anything times zero gives zero.
x^{3}+x^{2}+15x
Anything plus zero gives itself.
x\left(x^{2}+x+15\right)
Factor out x. Polynomial x^{2}+x+15 is not factored since it does not have any rational roots.