Determine whether the statement is true or false.
-If f(x) is a polynomial having only real coefficients and 2 - 4i is a zero of f(x), then 2 + 4i is also a
zero.

Name: Determine whether the statement is true or false. -If f(x) is a polynomial having only real coefficients and 2 - 4i is a zero of f(x), then 2 + 4i is also a zero.
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Question

Determine whether the statement is true or false.
-If f(x) is a polynomial having only real coefficients and 2 - 4i is a zero of f(x), then 2 + 4i is also a 
zero.

Quizplus · Accepted Answer

If a polynomial has real coefficients, then its non-real roots (zeros) come in conjugate pairs. Since 2 - 4i is a zero, its conjugate, 2 + 4i, must also be a zero.

Determine Whether the Statement Is True or False