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Find the first four terms in the binomial expansion of (2 + x) ^5

Firstly we must take the 2 out of the bracket, as a binomial expansion must have a coefficent of 1 (2 + x) 5 = 2 5 (1 + 0.5x) 5 Then, it is a good idea to quote the binomial expasion formula (you can often p...
FO
Answered by Fiona O. • Maths tutor
20191 Views

Solve x2 +2x – 4 = 0, leaving your answer in simplest surd form (4 marks, non calculator question)

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available fo...
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Answered by Fiona O. • Maths tutor
16580 Views

Solve these simultaneous equations: 2x + 5y = 37 and y = 11 - 2x

Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusing b...
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Answered by Bethany R. • Maths tutor
6505 Views

Find the roots of x^2+5x+4=0

(x+4)(x+1)=0 x=-1 x=-4
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Answered by Christian D. • Maths tutor
3821 Views

Find and classify all the stationary points of the function f(x) = x^3 - 3x^2 + 8

Stationary points occur when the gradient of the function is zero. They can be visualised on a graph as hills (maximum points), as troughs (minimum points), or as points of inflection. (I would draw all thre...
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Answered by Ryan B. • Maths tutor
13824 Views