A polynomial in `x` of degree 3 vanishes when `x=1` and `x=-2` , ad has the values 4 and 28 when `x=-1` and `x=2` , respectively. Then find the value of polynomial when `x=0` .

A polynomial in x of degree three vanishes when x = 1 and x =- 2 and has the values 4 and 28 when x =- 1 and x = 2 respectively, then f(1) is

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. If the polynomial P(x) is divided by (x+3), the remainder is a. -32 b. 100 c. 32 d. 0

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. One of the factor of P(x) is a. x+1 b. x-2 c. 3x+1 d. None of these

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. P(i),w h e r ei=sqrt(-1) is a. purely real b. Purely imaginary c. imaginary d. None of these

The value of the polynomial 5x -4x^(2)+3, when x=-1 is

STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1) and (x-2) the remainders are -1 and 1 respectively. If the same polynomial is divided by (x-1)(x-2) then the remainder is (2x-3) STATEMENT 2 : If P(x) is divided by a quadratic expression, then the remainder is either 0 or a polynomial whose degree is at most 1.

Let a ne 0 and P(x) be a polynomial of degree greater then 2.If P(x) leaves remianders a and a- when divided, respectively, by x + a and x - a, then find the remainder when P(x) is divided by x^(2) - a^(2) .

If 1 is a zero of the polynomial p(x)=a x^2-3(a-1)x-1 , then find the value of a .

If the polynomial ax^(3)+3x^(2)-3 leaves the remainder 6 when divided by x-4, then find the value of a.