One root of a third degree polynomial function f(x) is –5 + 2i. which statement describes the number and nature of all roots for this function? a. f(x) has two real roots and one complex root.
b. f(x) has two complex roots and one real root.
c. f(x) has three complex roots.
d. f(x) has three real roots.

Option 'B' is correct.

Step-by-step explanation:

Since we have given that

One root of a third degree polynomial function is -5+2i

As we know that every complex root comes with its conjugate root meaning they always come in pairs

So, another complex root will be -5-2i

So, remaining one root which must be real root because if it was complex it would come with its pair i.e. conjugate , then total it makes 4 roots which can't possible for three degree polynomial.

So, there must be 2 complex roots and one real root.

Hence, Option 'B' is correct.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

bull

step-by-step explanation: