Question

8. Find the remainder when f(x)=x?- xpower 4 - 3xsquare+4 is divided by g(x) = x-2 and
verify the result by actual division.​

Answer 1

By using remainder theorem:-

$x - 2 = 0$

$x = 0 + 2$

$x = 2$

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$p(x) = x^{4} - 3x^{2} + 4$

$p(2) = 2^{4} + 3(2)^{2} + 4$

$=>16 - 12 + 4$

$=>8$

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Hope this helps u :)