Question

Which of the following is a polynomial with roots 5, −6, and 7?

f(x) = x3 − 6x2 − 30x + 37
f(x) = x3 − 30x2 − 37x + 42
f(x) = x3 − 6x2 − 37x + 210
f(x) = x3 − 30x2 − 42x + 210

Answer 1

You can do this a number of ways. Do you remember how to do synthetic division?

Answer 2

HI!!

Answer 3

another way is to multiply
\[(x-5)(x+6)(x-7)\] and see what you get