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4x+5x^{2}+6x^{2}x
Multiply x and x to get x^{2}.
4x+5x^{2}+6x^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x\left(4+5x+6xx\right)
Factor out x. Polynomial 4+5x+6x^{2} is not factored since it does not have any rational roots.