Question

x4-3x2+4x+5 divide by X2+1-x​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Arranging the terms in descending order, we get

Clearly, the degree of remainder 8 is zero, which is less than the degree of x2 - x + 1.

Quotient = x2 + x - 3 and remainder = 8.

Verification:

Divisor  Quotient + Reminder = (x2 - x + 1) (x2 + x - 3) + 8

= x4 + x3 - 3x2 - x3 - x2 + 3x + x2 + x - 3 + 8

= x4 + x3- x3 - 3x2 - x2 + x2 + 3x + x -3 +8

= x4 - 3x2 + 4x + 5 = dividend