**Find the value of k if (3x+k)^3+(4x-7)^2 has a remainder of 33 when divided by x-3**

**Answer:**

Put x=3 in the given expression we get (9+k)^{3} + 5^{2} =33

or (9+k)^{3} + 25=33

(9+k)^{3}=8

9+k=2

k=-7

**Find the value of k if (3x+k)^3+(4x-7)^2 has a remainder of 33 when divided by x-3**

**Answer:**

Put x=3 in the given expression we get (9+k)^{3} + 5^{2} =33

or (9+k)^{3} + 25=33

(9+k)^{3}=8

9+k=2

k=-7