A polynomial in `x` of the third degree which will vanish when `x=1` & `x=-2` and will have the values 4 & 28 when `x=-1 and x=2` respectively 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. If the polynomial P(x) is divided by (x+3), the remainder is -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. P(i),w h e r ei=sqrt(-1) is a. purely real b. Purely imaginary c. imaginary 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

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. One of the factor of P(x) is x+1 b. x-2 c. 3x+1 d. None of these

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.Find the polynomial.

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 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 find the value of polynomial when x=0 .

Find a polynomial in x, of the second degree which vanishes when x = -3 and have values 24 and 62 when x = 3 and x = 4 respectively.