Question 231174
*[Tex \LARGE f(x)+g(x)]


*[Tex \LARGE (x^2-6x+4)+(-x-1)]


*[Tex \LARGE x^2-7x+3]


Ans: *[Tex \LARGE f(x)+g(x)=x^2-7x+3]


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*[Tex \LARGE f(x)-g(x)]


*[Tex \LARGE (x^2-6x+4)-(-x-1)]


*[Tex \LARGE x^2-6x+4+x+1]


*[Tex \LARGE x^2-5x+5]


Ans: *[Tex \LARGE f(x)-g(x)=x^2-5x+5]



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*[Tex \LARGE f(x)g(x)]


*[Tex \LARGE (x^2-6x+4)(-x-1)]


*[Tex \LARGE (-x-1)(x^2-6x+4)]


*[Tex \LARGE -x(x^2-6x+4)-(x^2-6x+4)]


*[Tex \LARGE -x^3+6x^2-4x-x^2+6x-4]


*[Tex \LARGE -x^3+5x^2+2x-4]


Ans: *[Tex \LARGE f(x)g(x)=-x^3+5x^2+2x-4]



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*[Tex \LARGE \frac{f(x)}{g(x)}]


*[Tex \LARGE \frac{x^2-6x+4}{-x-1}]


<pre>
    _______-x-7_________
-x-1 | x^2-6x+4
       x^2+x
      ------
         -7x+4
         -7x-7
         ------
            11

</pre>


*[Tex \LARGE -x+7+\frac{11}{x+1}]


Ans: *[Tex \LARGE \frac{f(x)}{g(x)}=-x+7+\frac{11}{x+1}]