. Give examples of polynomials p(x),g(x),q(x) and r(x) which satisfy the division algorithm and


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Best Answer

Answer: Degree of a polynomial is the highest power of the variable in the polynomial

i. deg p(x) = deg q(x)

Degree of quotient will be equal to degree of dividend when divisor is constant.

Let us assume the division of 6x2+2x+2 by 2

Here p(x) = 6x2+2x+2

g(x)=2

were

Thus, the division algorithm is satisfied.

were

Thus, the division algorithm is satisfied.

(iii) deg r(x)=0

degree of remainder will be 0 when remainder comes to a constant.

Let us assume the division of x3 + 1by x2.
 
Here, 
 

were

Thus, the division algorithm is satisfied.

 

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