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If f(x)=x^4+ ax^3 + bx^2 + cx + d and f(...

If `f(x)=x^4+ ax^3 + bx^2 + cx + d and f(1)=10, f(2)=20, f (3)=30` then find the value of `f (12)+f(-8)`.

Answer

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Knowledge Check

  • Consider the polynomial f(x) = 2x^4 – ax^3 + 2bx^2 + cx – d, where a, b, c, d in R and f(i) = f(3+i) = 0 then the value of b+d is

    A
    `-5`
    B
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    C
    11
    D
    7

  • If f(x) = ax^(2) + bx + c find f^(1) (1) .

    A
    `a+2b`
    B
    `2a -b`
    C
    `a-2b`
    D
    `2a +b`

  • If f(x) = ax^(2) + bx + c and f(-1) ge -4, f(1) le 0 and f(3) ge 5 , then the least value of a is

    A
    `1//4`
    B
    `1//8`
    C
    `1//3`
    D
    `-1//3`

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    If f(x) = ax+2 and f'(1)=3, then find the value of 'a'.

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    Using matrix method, find the quadratic defined by f(x) = ax^(2) + bx + c if f(1) = 0, f(2) = -2 and f(3) = -6. Hence find the value of f(-1).

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