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We need to get the quadratic expression into the form (x + a)(x + b). If we expand this expression using FOIL, we see that the resulting expression is x² + (a+b)x + ab. We can now find a and b ...

The power of a number indicates how many times that number must be multiplied by itself. If the power is a negative, this means that the number (or the base) is a fraction, with the base as a denominator....

Facing any piece of literature that you aren't familiar with, and being expected to analyse is daunting. But if you approach it calmly, I find it is quite doable. It sounds obvious, but first, make sure t...

Structure: The respiratory system starts at the mouth and nose with the pharynx, and continues as the trachea - this is covered with the epiglottis that prevents food and other material entering the lower...

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m.

We are told that this function of 'f' and 'g' can also be written as...