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Answer :
The multiplicity of the function is 1 for each term after factorization.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
[tex]\rm F(x)= 4x^3+19x^2-41x+9[/tex]
After factorization:
[tex]\rm F(x) = \left(4x-1\right)\left(x^2+5x-9\right)=0[/tex]
[tex]\rm F(x) =(4x-1)^1(\:x-\frac{-5+\sqrt{61}}{2})^1(\:x+\frac{-5-\sqrt{61}}{2})^1[/tex]
The multiplicity of the function is 1 for each term.
Thus, the multiplicity of the function is 1 for each term after factorization.
Learn more about Polynomial here:
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