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Factorise x² + 2x - 8

Since an x² is produced, we know that the factorised version will be (x+a)(x+b). To find a and b we need to consider the relationship between 2 and -8. It is going to be factorised into two brackets, due to ...
HB
Answered by Hannah B. • Maths tutor
34963 Views

Solve the equation 4x + 2 = -5x + 20

Algebra is the enemy of many a student, but I'm here to show you that this (and many more concepts in maths!) really aren't that bad. For this problem, we need to group all of the like terms together, that i...
BJ
Answered by Ben J. • Maths tutor
6516 Views

How do I know when a quadratic function crosses the y-axis?

The key thing to remember here is that the y-axis is a straight line and all of the points that lie on it have the x-value of 0. This means that the curve crosses the y-axis when x=0 so you can substitute th...
SR
Answered by Scott R. • Maths tutor
7408 Views

The first three terms of a sequence are a, b, c. The term-to-term rule of the sequence is 'Multiply by 2 and subtract 4'. Show that c = 4(a – 3).

As the answer is given in the question, it's really important that you lay out your working carefully to give a convincing account as to how you got from the question to the answer. Here we have a sequence. ...
RB
Answered by Robin B. • Maths tutor
13236 Views

What is a good way to remember the sine, cosine and tangent rules of a triangle?

If you are trying to find the sine of an angle, remember: SOH The sine of an angle (S)= the length of the opposite side (O) / the length of the hypotenuse (H) If you are trying to find the cosine of an angle...
HW
Answered by Hannah W. • Maths tutor
4494 Views