Answered

Get expert advice and insights on any topic with IDNLearn.com. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

If a polynomial function, f(x), with rational coefficients has roots 3 and startroot 7 endroot, what must also be a root of f(x)?

Sagot :

Oladayoademosuidn

The conjugate which is 3 - √7 is also a root of f(x).

What is the root of a polynomial function?

The root of a polynomial function f(x) is the value of x for which f(x) = 0.

Now if a polynomial function has a root x = a + √b then the conjugate of x which is x' = a - √b is also a root of the function, f(x).

What must also be a root of f(x)?

Given that the polynomial function, f(x), with rational coefficients has roots

3 + √7, then by the above, the conjugate which is 3 - √7 is also a root of f(x).

So, 3 - √7 is also a root of f(x).

Learn more about root of a polynomial function here:

https://brainly.com/question/2833285

#SPJ1

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.