Question

bivide the following using the long-division
method and verify the Formula Dividend -
x Quotient + Remainder .
22 - 4x + 4by C-2
20
x-2)x² - 4x + 4
I tx
- 3x² +48​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

We know that the division algorithm states that: 

Dividend=(Divisor×quotient)+Remainder

Here it is given that the dividend is p(x)=x3−3x2+x+2, the divisor is g(x), the quotient is x−2and the remainder is −2x+4, therefore,

x3−3x2+x+2=[g(x)(x−2)]+(−2x+4)⇒g(x)=x−2x3−3x2+x+2 

The division is shown above.

Hence, from the above division, we get that the divisor is g(x)=x2−x+1