2 Polynomials questions?

Question

1) If x^5 = kx^2 is divided by (x-1)(x-2)(x-3), the remainder contains no terms in x^2 then k is-
(A) 90 (B) 100
(C)-90 (D) -70

2)A cubic polynomial p(x) such that p(1)= 1 p(2) = 3 and p(4) = 5, then p(6) is
(A) 7 (B)16
(C)10 (D)13

Please explain also.
Also let me know a website (a link) where I can find such solved questions

Answer 1

1).D.-70

2).A.7

1).becauseif k=-70 then the remainder consists no terms in ' s

2).given that:a cubic polynomial p(x)

p(1)=1

p(2)=3

p(4)=5

so the answer is p(6)=7