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.

the  office resources  are the human, physical and financial  resources  which are utilized for performing all the activities in order to achieve the organizational objectives.

happy to

pls mark as brainliest