Which of the following is a polynomial with roots 5, −6, and 7?
a.) f(x) = x3 − 6x2 − 30x + 37
b.) f(x) = x3 − 30x2 − 37x + 42
c.) f(x) = x3 − 6x2 − 37x + 210
d.) f(x) = x3 − 30x2 − 42x + 210

Given roots of the polynomial :  5, −6, and 7.

Therefore, zeros are x=5, x=-6 and x=7.

So, for the given zeros, factors are

(x-5)(x+6)(x-7).

Now, we need to multiply (x-5)(x+6)(x-7) those factors to get the final polynomial.

answer: a clock

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.