Question

Write a linear factorization of the function. f(x) = x4+ 9x2

Answer 1

$\boxed{f(x)=x^2(x^2+9)}$

Explanation:

In this exercise we have the following polynomial function:

$f(x) = x^4+ 9x^2$

The Linear Factorization Theorem states:

A polynomial function has the same number of factors as its degree, and each factor is given in the form:

$(x-c) \\ \\ Where \ c \ is \ a \ complex \ number$

So the linear factorization of our problem can be found taking common factor $x^2$, so:

$\boxed{f(x)=x^2(x^2+9)}$

Learn more:

Degree of polynomial: https://brainly.com/question/5451252

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