Question

please provide me some hardest questions of polynomials

Answer 1

Let αα and ββ and γγ be 3 real numbers.

Prove that there exist only one polynomial P(x)P(x) of the second degree such that

⎧⎩⎨P(1)=αP(2)=βP(3)=γ

Answer 2

Let A and B are the remainder when two polynomial y to the power 3+2y to the power 2-5ay-7 and y to the power 3+ay to the power 2- 12y+6 are divisible by y+1 and y-2 respectively.If 2A + B = 6, find the value of a.