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If P(x) is the product of a linear polynomial and a cubic polynomial, how many roots does P(x) = 0 have?Explain

 May 19, 2019
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The degree of the polynomial determins how many roots it has.

If you have the linear polynomial \(ax+b\) and the cubic polynomial \(cx^3+dx^2+ex+f\), the highest power in the product \((cx^3+dx^2+ex+f)(ax+b)=acx^4+(ad+bc)x^3+(ae+bd)x^2+(af+be)x+bf\) is \(x^4\) so the polynomial will have 4 roots.

 May 19, 2019

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