Two roots of a third degree polynomial function f (x) are - 4 and 4. Which statement describes th

roots for this function?

f (x) has three complex roots.

f (x) has three real roots.

f (x) has two real roots and two complex roots.

Of (x) has three real roots and one complex root.

Question

Mathematics

Brycen Koch

27 July, 02:49

Two roots of a third degree polynomial function f (x) are - 4 and 4. Which statement describes th

roots for this function?

f (x) has three complex roots.

f (x) has three real roots.

f (x) has two real roots and two complex roots.

Of (x) has three real roots and one complex root.

+3

Answers (1)

Know the Answer?

Tom · Answer 1

f (x) has 3 real roots

Step-by-step explanation:

According to the Fundamental theorem of Algebra.

A polynomial of degree n has n roots, which can be real or complex or both.

Thus a polynomial of degree 3 has 3 roots.

Two real roots are given

Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.

Thus f (x) has three real roots.

Two roots of a third degree polynomial function f (x) are - 4 and 4. Which statement describes throots for this function?f (x) has three complex roots.f (x) has three real roots.f (x) has two real roots and two complex roots.Of (x) has three real roots and one complex root.

Two roots of a third degree polynomial function f (x) are - 4 and 4. Which statement describes th

roots for this function?

f (x) has three complex roots.

f (x) has three real roots.

f (x) has two real roots and two complex roots.

Of (x) has three real roots and one complex root.