Respuesta :
Factor when dividing the function the remainder is zero. The factorized form of the function [tex]f(x)=12x^5+6x^3+8x^2[/tex] is 2x²(6x³+3x+4).
What is a factor?
A factor of a function is a factor which when multiplied by another the result is the function itself.
We know that in order to factorize a function of the fifth order, we need to take the common terms out from the expression,
[tex]f(x)=12x^5+6x^3+8x^2[/tex]
Taking 2x² as the common terms out of the entire function,
[tex]\begin{aligned}f(x)&=12x^5+6x^3+8x^2\\\\&=2x^2(6x^3+3x+4)\end{aligned}[/tex]
Hence, the factorized form of the function [tex]f(x)=12x^5+6x^3+8x^2[/tex] is 2x²(6x³+3x+4).
Learn more about Factors:
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