Consider the expression (x^(3)+5x^(2)+4)/(x^(2)+4). The numerator is a polynomial of degree 2, and the denominator is an irreducible quadratic. Because the degree of the numerator is greater than the degree of the denominator, we can use long division to find real numbers a,b,c,d to write (x^(3)+5x^(2)+4)/(x^(2)+4)= polynomial + remainder =(ax+b solutionspile.com

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Consider the expression (x^(3)+5x^(2)+4)/(x^(2)+4). The numerator is a polynomial of degree 2, and the denominator is an irreducible quadratic. Because the degree of the numerator is greater than the degree of the denominator, we can use long division to find real numbers a,b,c,d to write (x^(3)+5x^(2)+4)/(x^(2)+4)= polynomial + remainder  =(ax+b)+(cx+d)/(x^(2)+4) Using long division: (x^(3)+5x^(2)+4)/(x^(2)+4)= x+,(x)/(x^(2)+4)+,(1)/(x^(2)+4) Therefore  int (x^(3)+5x^(2)+4)/(x^(2)+4)dx= (Hint: Write expressions in x using the same order as above!  solutionspile.com

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(Solved): Consider the expression (x^(3)+5x^(2)+4)/(x^(2)+4). The numerator is a polynomial of degree 2, and ...

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