TOSSIBLE FONTS A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour.

Given that (x-3) is a factor of f(x)=x^3+ax^2-x-6, find a and hence the number of real roots or the equation f(x)=0

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

If sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then