Divide the first polynomial by the second polynomial and find the remainder using factor theorem.

(x² – 7x + 9); (x + 1)

If the value of the polynomial m³ + 2m + a is 12 for m =2, then find the value of a.

For the polynomial mx² + 2x + 3 if p(-1) = 7 then find m.

Divide the first polynomial by the second polynomial and find the remainder using factor theorem.

(2x³ – 2x² + ax – a); (x-a)

Divide the first polynomial by the second polynomial and find the remainder using factor theorem.

(54m³ + 18m² – 27m + 5); (m-3)