Let . If has remainder 12, what is the remainder of .?

Use the remainder theorem, which says the remainder upon dividing a polynomial by is equal to .

We're told that dividing by leaves a remainder of 12, so

Then the remainder upon dividing by is .

1

Step-by-step explanation:

Remainder theorem: f(x)/x-a = f(a)

Since we are divinding p(x) by x - 1, we can use the theorem above to help us solve.

p(x)/x-1 = p(1)

Best of Luck!