Question

p(x)=6x^4+3x^2+2 divided by g(x)=x^2+1​

Answer 1

Answer:

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Step-by-step explanation:

Ques: p(x)=6x⁴+3x²+2 divided by g(x)=x²+1​

Ans:

x²+1)6x⁴+3x²-3(6x²-3

​ ​ ​ ​ ​ ​ ​ ​6x⁴ +6x²

​ ​ ​ ​ ​ ​ ​ ​‹-› ‹-›

______________

​ ​ ​ ​ ​ ​ ​ ​ ​ ​-3x² -3

​ ​ ​ ​ ​ ​ ​ ​ ​ -3x² -3

​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​‹-› ‹-›

______________

​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​0

_______________

The quotient is 6x²-3 .

When ,

6x⁴+3x²-3 ÷ x²+1

The Answer is = 6x²-3 .

Here the remainder is = 0 .

It means it is completely divided by that .

Answer 2

Answer:

Here, p(x) = 6x^4+3x^2+2 and;

g(x) = x^2+1

so, by calculation we get,

q(x) = 6x^2-3 and;

r(x) = 5.

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