Which of the following is a polynomial with roots 5, 7, and −8? (a). f(x) = x3 − 35x2 − 56x + 61 (b). f(x) = x3 − 35x2 − 61x + 280 (c). f(x) = x3 − 4x2 − 35x + 56 (d). f(x) = x3 − 4x2 − 61x + 280

The correct option is D.

Step-by-step explanation:

According the definition of roots if a function f(x) have a root c, then (x-c) is a factor of f(x).

The function is defined as,

Where c is a constant, are roots with multiplicity respectively.

It is given that the roots of the function are 5,7 and -8, therefore the factors of the polynomial are (x-5),(x-7) and (x+8).

Multiply the factors to get the function.

Therefore, the correct option is D.

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.

answer: 5100 just subtract

step-by-step explanation: