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Factorise the expression: 2x^2 + 17x + 21

There are several ways to factorise this quadratic expression, but the best way in my opinon is: Take the constant in front of the x^2 and multiply it by the standalone constant (i.e. multiply 2 by 21, which...
TM
Answered by Tushar M. • Maths tutor
9731 Views

What factors led to the start of the English Civil Wars?

The English Civil War was in essence caused by the relationship between the country's King and its parliament, which had detoriorated over the previous decade. Charles has spent the 10 years running up to th...
MS
Answered by Marius S. • History tutor
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Solve the simultaneous equations: 4x+y=25 and x-3y=16

Lets first give the equations names. 4x+y=25 (A) x-3y=16 (B) We want to get the equations so that they have either the same number of x's or same number of y's. So let's multiply equation (A) by three so tha...
MD
Answered by Michael D. • Maths tutor
10060 Views

You are given the function f(x)=x^3-x^2-7x+3, and that x=3 is a root of f(x)=0. Find the exact values of the other 2 roots. (6 marks)

First step is to realise that as x=3 is a root of f(x)=0, then we can use (x-3) as a factor of f(x). A really good method to use to find what (fx)/(x-3) gives is Synthetic Division. Using this method we then...
DH
Answered by David H. • Maths tutor
3827 Views

What is a neuron and its function?

The neuron is the basic working unit of the brain, a specialized cell designed to transmit information to other nerve cells, muscle, or gland cells. Neurons are cells within the nervous system that transmit ...
MB
Answered by Marie B. • Biology tutor
17996 Views