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If f(x) and g(x) are two polynomials suc...

If f(x) and g(x) are two polynomials such that the polynomial `P(x)=f(x^(3))+g(x^(3))` is divisible by `x^(2)+x+1`, then P(1) is equal to ........

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Knowledge Check

  • Let g(x) and h(x) be two polynomials with real coefficients. If p(x) = g(x^(3)) + xh(x^(3)) is divisible by x^(2) + x + 1 , then

    A
    g(1) = 0, h(1) = 1
    B
    g(1) = 1, h(1) = 0
    C
    g(1) = 0, h(1) = 0
    D
    g(1) = 1, h(1) = 0

  • If A(x) and B(x) be two polynomials and f(x) = A (x^(3)) + xB (x^(B)) be divisible by x^(2) + x + 1 then

    A
    A (x) is divisible by (x - 1)
    B
    B (x) is divisible by ( x - 1)
    C
    f (x) is divisible by (x - 1)
    D
    none

  • If f(x) and g(x) are polynomial functions of x, then domain of (f(x))/(g(x)) is

    A
    `(-oo, 0]`
    B
    `[0, oo)`
    C
    R
    D
    R - {g(x) = 0}

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    Let P(x) and Q(x) be two polynomials.Suppose that f(x)=P(x^(3))+xQ(x^(3)) is divisible by x^(2)+x+1, then

    Let P(x) and Q(x) be two polynomials.If f(x)=P(x^(4))+xQ(x^(4)) is divisible by x^(2)+1, then

    Let f(x) and g(x) be polynomials with real coefficients.If F(x)=f(x^(3))+xg(x^(3)) is divisible by x^(2)+x+1, then both f(x) and g(x) are divisible by

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