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Using cosine rule a.b = |a||b|cos(theta) and the example vectors a = (1,2,3) and b = (3,2,1),First explain why the cosine rule exists, use a geometric proof of the cosine rule. Show the magintude of a=b=r...

To "make y the subject" basically means to get an expression in the form y= a function of the other variables (in this question, x and p). This will involve adding, subtracting, multiplying and ...

For example show that x + 3 is a factor of p(x) = x³ - 5x² - 8x + 48

We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x)

putt...

Let us use the example of (x + 3)(x + 5)

The main thing we have to remember is to multiply every term in the first bracket by every term in the second bracket. An easy way to make sure we've done t...

(This is something that I didnt fully understand for quite a while at school.) So when we are solving x²=25, in order to get x "on it's own" we square root both sides. However the def...