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Find the remainder when x^3-a x^2+6x-a i...

Find the remainder when `x^3-a x^2+6x-a` is divided by `x-a`.

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To find the remainder when the polynomial \( P(x) = x^3 - ax^2 + 6x - a \) is divided by \( x - a \), we can use the Remainder Theorem. According to the Remainder Theorem, the remainder of the division of a polynomial \( P(x) \) by \( x - c \) is equal to \( P(c) \). ### Step-by-Step Solution: 1. **Identify the polynomial and the divisor**: We have the polynomial \( P(x) = x^3 - ax^2 + 6x - a \) and we are dividing it by \( x - a \). 2. **Substitute \( x = a \) into the polynomial**: ...
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Find the remainder when x^(3)-ax^(2)+6x-a is divided by x-a.

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Knowledge Check

  • Find the remainder when f(x)=x^(3)-6x^(2)+2x-4 is divided by g(x)=3x-1

    A
    `-107/27`
    B
    `-190/56`
    C
    `-179/79`
    D
    `907/25`
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