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8 June, 17:00

Whst is the remainder when f (x) = x^3+3x^2-10x-4 is diveded by x-3

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  1. 8 June, 19:45
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    The polynomial remainder theorem allows us to calculate the remainder when a polynomial is divided by a linear polynomial:

    The remainder of f (x) divided by (x-k) equals f (k).

    Thus

    f (x) = x^3+3x^2-10x-4 divided by x-3

    gives a remainder of

    f (3) = 27+3 (9) - 10 (3) - 4=27+27-30-4=20

    Therefore the remainder required is 20.
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