Question

What must be added to x4 - 2x3 - 2x2 + x -1 so that the resukt is exactly divisible by x2+ x-2

Answer 1

AS THE REMAINDER IS THE NUMBER WHICH SHOULD BE ADDED TO A POLYNOMIAL TO MAKE IT EXACTLY DIVISIBLE BY THE DIVISOR .

SO , WE WILL FIND THE REMAINDER HERE

I HAVE FOUND THE REMAINDER IN THE ABOVE ATTACHED IMAGE AND AS THE REMAINDER IS

, SO -8x + 5 IS THE NUMBER THAT SHOULD BE ADDED TO x4 - 2x3 - 2x2 + x - 1 TO MAKE IT EXACTLY DIVISIBLE BY x2 + x - 2 .

HENCE , -8x + 5 IS THE NUMBER THAT SHOULD BE ADDED TO x4 - 2x3 - 2x2 + x - 1 TO MAKE IT EXACTLY DIVISIBLE BY x2 + x - 1 TO MAKE IT EXACTLY DIVISIBLE BY x2 + x - 2 .

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