Question

X4_3x2+4x+5divide x2+1_x

Answer 1

Hi ,

x² - x + 1 ) x⁴ + 0 - 3x² + 4x + 5 ( x²+x - 3
************x⁴ - x³ + x²
____________________
*****************x³ - 4x² + 4x

*****************x³ - x² + x
_____________________
*********************-3x² + 3x +5
******************** -3x² + 3x - 3
_______________________
*********************************8

By division algorithm :

dividend = quotient × divisor + remainder

x⁴ -3x²-+4x+5 = ( x² + x - 3 ) ( x² - x + 1 ) + 8

I hope this helps you.

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