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!

To find 1/3 of 246 students, you would divide 246 by the denominator of 1/3 which is 3. 246 divided by 3 is 82. Another way to formatting this is 246 x 1/3 which is also 82.

This means 1/3 of 246 is 82 so 82 students ride to school in a car. If 1/3 is 82, 2/3 (the remaining amount of student) is 164 (82 + 82 = 164 , 1/3 + 1/3)

So 164 students (2/3 of the students) ride the bus to school.