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[NOTE: An irreducible fraction (or fraction in lowest terms) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1.]Given th...

[Recall: the numerator of a fraction is the top number; the denominator refers to the bottom number. A surd is an irrational number, e.g. √3, √5, etc.]Given the following fraction:...

We use the rule that if y = x^n then dy/dx = n*x^(n-1) which is valid whether or not n is an integer. 

We also use that differentiation is a linear operation, which means that we can diff...

Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form.

The key here is use t...

p(x)=x³+2x²-5x-6

      =x(x²+2x-5)-6

      =x(x²+2x+1-6)-6 as we know (x+1)²=x²+2x+1,5 can be expressed 1-6...