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divide 7x^3 + 11x^2 + 7x + 5 by x^2+1 using long division

Sagot :

Mahernandezjr11idn
Г=long division sign
U divide by da first x^2 and then multiply y da whole thing x^2+1.
Then u subtract daresults from da dividend. Keep doing dat until u can't divide.
7x+11
x^2+1Г 7x^3+11x^2+7x+5
7x^3 7x
___________________
11x^2 5
11x^2 11
____________
-6
U can check da answe with this formula:
dividend=quotient+remainder
---------- ------------
divisor divisor
So using this formula, u would write:
7x^3+11x^2+7×5=7x+11+-6
--------------------- ---
x^2+1 x^2+1
Substitute x for 1 n solve.
7(1)^3+11(1)^2+7(1)+5
----------------------------
(1)^2+1
=7+11+7+5 30
-------------= ---=15
1+1 2
7(1)+11+-6 18+-6
------= ----=18+-3
(1)^2+1 2
=15
Therefore u can say 15=15 and dat means da answer checks out.
Panoyinidn
                                       7x + 11
x² + 0x + 1|7x³ + 11x² + 7x + 5
                  7x³ +   0x² + 7x
                           11x² + 0x + 5
                           11x² + 0x + 11
                                              -6
[tex]The\ answer\ is\ equal\ to\ 7x + 11 + \frac{-6}{x^{2} + 1}.[/tex]
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