Question

3xsquare-xcube-3x+5 by x-1-xsquare and verify the division algorithm

Answer 1

Step-by-step explanation:

3x^2-3x^3-3x+5 by x-1-x^2

it can be wriiten as,

-x^3+3x^2-3x+5 by -x^2+x-1

dividing them by long division,

we get

quotient = x-2

remainder=3

division algorithm is dividend=divisor ×quotient +remainder

(-x^2+x-1)(x-2) +3

x (-x^2+x-1)-2 (-x^2+x-1)+3

-x^3+x^2-x+2x^2-2x+2+3

-x^3+3x-3x+5

hence, verified

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