Choose the one alternative that best completes the statement or answers the question.
Find a bound on the real zeros of the polynomial function.
-$$f ( x ) = x ^ { 4 } + 2 x ^ { 2 } - 3$$
A) $- 3$ and 3
B) $- 6$ and 6
C) $- 4$ and 4
D) $- 5$ and 5

Question

Quizplus · Accepted Answer

The real zeros of the polynomial $f(x) = x^4 + 2x^2 - 3$ are bounded by $-4$ and $4$, because according to the Rational Root Theorem and bounds on polynomial zeros, the absolute value of the zeros cannot exceed the largest coefficient plus one, which in this case is $3 + 1 = 4$.

Choose the One Alternative That Best Completes the Statement or Answers