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

Can someone please help me ASAP (Solving polynomial equations)

B

Step-by-step 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) = - + 3 - 8x³ + 14x² - 16x + 8

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

Thus there are 5 negative real roots

Thus f(x) has 5 real roots → B

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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