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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 x² + (a+b)x + ab. We can now find a and b ...

Answered by Charlotte S. • Maths tutor

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How do you intergrate a function?

Increase the powers of all variables by one and then divide them by this number. For example, given 3x^3 + 5x^-0.5 - 8 , this would give 3/4x^4 + 10x^0.5 - 8x

Answered by David C. • Maths tutor

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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....

Answered by Molly N. • Maths tutor

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What is a mole?

A mole is the amount of a substance which contains as many particles (atoms, ions, molecules etc) of the substance as there are carbon atoms in 12g of ¹²C - this is exactly 6.02 × 10²³

Answered by Molly N. • Chemistry tutor

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What is the difference between classical and operant conditioning? Give an example of each.

Classical conditioning is the behavioural process through which the subject will exhibit a behaviour in response to a conditioned stimulus; the conditioned stimulus having previously become associated wit...

Answered by Molly N. • Psychology tutor

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