Question

Multiplicity of F(x)= 4x^3+19x^2-41x+9

Answer 1

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.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

We have a polynomial function:

$\rm F(x)= 4x^3+19x^2-41x+9$

After factorization:

$\rm F(x) = \left(4x-1\right)\left(x^2+5x-9\right)=0$

$\rm F(x) =(4x-1)^1(\:x-\frac{-5+\sqrt{61}}{2})^1(\:x+\frac{-5-\sqrt{61}}{2})^1$

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:

brainly.com/question/17822016

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