Question

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

  1. 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.
    • One more possible root would be √7.
    Therefore, the root of f(x) will be (A) -√7.
    Know more about polynomial functions here:
    #SPJ4
    The correct question is given below:
    If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?
    A. negative square root of 7
    B. i square root of seven
    C. –3
    D. 3i

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