Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots

Question

3 years ago

8

Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots

for this function?
f(x) has three imaginary roots.
f(x) has three real roots.
f(x) has two real roots and two imaginary roots.
f(x) has three real roots and one imaginary root.

Mathematics

2 answers:

Helen [10] · Answer 1 · 2022-06-11T03:58:31+03:00

Helen [10]3 years ago

7 0

Answer:

Three real roots

Step-by-step explanation:

marta [7] · Answer 2 · 2022-06-11T02:21:02+03:00

Answer:

Step-by-step explanation:

A third degree polynomial has a <em>total of three roots</em>, real and imaginary combined.

If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.