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How to factorise the expression x^2 + 8x + 15

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 x 2 + (a+b)x + ab. We can now find a and b by comparing ...
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Answered by Charlotte S. • Maths tutor
4775 Views

How do I calculate negative powers?

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. Fo...
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Answered by Molly N. • Maths tutor
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When tackling a piece of unseen poetry , where do I start?

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 to r...
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Answered by Francesca D. • English tutor
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Briefly describe the structure and function of the respiratory system

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 ai...
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Answered by Joe D. • Biology tutor
8641 Views

f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

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 fg(x) = 8...
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Answered by Angus B. • Maths tutor
5074 Views