Factors of given polynomial function [tex]x(x-4)(x-2)[/tex]
What is a polynomial function?
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
Given polynomial function
[tex]p(x)=x^{3}-2x^{2} -4x^{2} +8x[/tex]
Group the terms
= [tex](x^{3} -2x^{2} )+(-4x^{2} +8x)[/tex]
Factor each group separately
= [tex]x^{2} (x-2)-4x(x-2)[/tex]
Factor [tex]x-2[/tex] from each term
= [tex](x^{2} -4x)(x-2)[/tex]
Factor [tex]x[/tex] from [tex]x^{2} -4x[/tex]
= [tex]x(x-4)(x-2)[/tex]
Factors of given polynomial function [tex]x(x-4)(x-2)[/tex].
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