Question

How many and of which kind of roots does this equation have?

Can someone please help me ASAP (Solving polynomial equations)

Answer 1

B

Explanation:

The polynomial is of degree 5, thus will have 5 roots either real or complex or both.

Using Descartes' rule of signs.

Count the number of sign changes in f(x)

There are no sign changes thus there are no real positive roots.

Find f(- x) then count the number of sign changes.

f(- x) = -
`x^(5)` + 3
`x^(4)` - 8x³ + 14x² - 16x + 8

- / + / - / + / - / + ← 5 sign changes

Thus there are 5 negative real roots

Thus f(x) has 5 real roots → B

Answer 2

mckpwmc dk

Explanation:

dlkd mlk kdlw