Question

Find the quotient of the polynomial p(x)=6x⁴+3x²-3 divided by g(x)=x²+1

Answer 1

Answer is the pic above.

Answer 2

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 .

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