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For convience we can call the polynomial f(x). Using the fact that the product of the roots of a polynomial equals the constant term, we know that the product of the roots is -15. We can therefore guess a...

This curve is a quadratic due to the highest power in the equation being two. Quadratics typically have the shape of a U. Due to the coefficient of the x^2 term being positive, the curve is increasing for...

The first step is to rearrange for x: we have x=2y-3now we can plug this into the equation of the ellipse: y^2+2(2y-3)^2=39y^2-24y+15 = 0we can use the quadratic formula to solve this equation:y = (24+-sq...

Firstly, by looking at the integral, we see that this will have to be done by parts. There are 2 parts of this expression, the 'x' and the 'e^x'. As we know the formula f...

6-(x/2)