Question

2) x4y—2x)
Vrite the quotient and remainder after divium
a) (9x46x2+r3-2) by (x-2)
(b)
(d)​

Answer 1

Answer:

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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)=4x  

3

+2x  

2

−10x+2, the divisor is g(x), the quotient is 2x  

2

+4x+1 and the remainder is 5, therefore,

4x  

3

+2x  

2

−10x+2=[g(x)(2x  

2

+4x+1)]+5

⇒g(x)=  

2x  

2

+4x+1

4x  

3

+2x  

2

−10x+2

​  

 

The division is shown above.

Hence, from the above division, we get that the divisor is g(x)=2x−3