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)? negative startroot 7 endroot i startroot 7 endroot –3 3i

Answers

The root of f(x) will be (A) -√7.

What is a polynomial function?

A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.

For example, 2x+5 is a polynomial with an exponent of one.

To find the root of f(x):

A polynomial function f(x) has roots 3 and √7.

3 is a real number.

√7 is an irrational number.

The zeros or root of the function always occurs in conjugate pair.

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a – √b

For the given function f(x), √7 should be in conjugate pair.

rootof f(x) will be (A) -√7.What isa polynomial function?polynomial functionis one that involves onlynon-negative integerpowers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.exponentof one.rootof f(x):Conjugate pair:A root has two forms one positive and one negative.rootof f(x) will be (A) -√7.polynomial functionshere:https://brainly.com/question/2833285The correct question is given below:Answer:Step-by-step explanation: