Math, asked by jaikaransharma766, 8 months ago

.Divide 12 x³ -2x² +x +1 by 3x+1and write quotient and remainder.​

Answers

Answered by urdhwaritrane
0

We know that the division algorithm states that:  

Dividend=(Divisor×quotient)+Remainder

Here it is given that the dividend is p(x)=x  

3

−3x  

2

+x+2, the divisor is g(x), the quotient is x−2 and the remainder is −2x+4, therefore,

x  

3

−3x  

2

+x+2=[g(x)(x−2)]+(−2x+4)

⇒g(x)=  

x−2

x  

3

−3x  

2

+x+2

​  

 

The division is shown above.

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

2

−x+1

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