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x^3 + 2x^2 - 9x - 18 = (x^2 - a^2)(x + b) where a,b are integers. Work out the three linear factors of x^3 + 2x^2 - 9x - 18. (Note: x^3 indicates x cubed and x^2 indicates x squared).

There are a few different ways to approach this problem. The most obvious is to attempt to factorise x+ 2x- 9x - 18. However it is very difficult to approach the problem like thi...

CB
4536 Views

Jo has the following 9 coins in her purse: 10p, 2p, 2p, 50p, 10p, 1p, 20p, 2p, 2p. Work out the median, mean, mode and range.

To work out the median of a set of numbers we first place them in order:

1p, 2p, 2p, 2p, 2p, 10p, 10p, 20p, 50p

Then the median is the middle value in the list, in this case 2p.

To wo...

CB
Answered by Chris B. Maths tutor
5507 Views

Briefly describe the use of Law reports and their importance.

The importance of Law reports within the English Judicial System stem from a variety of interlinking factors, primarily that a core principle of the Legal System is that “the Law is for all” and thus shou...

LS
Answered by Lewis S. Law tutor
18611 Views

How would I differentiate something with the product rule?

Okay so, first of all the product rule in itself is fairly simple. Take the product of a function "u" and a function "v" to be a compound function. You can write this as "uv"...

SD
Answered by Shivam D. Maths tutor
3610 Views

How would I solve the equation 25^x = 5^(4x+1)?

You would have to rewrite 25 as 5^2 hence 25^x = (5^2)^x = 5^(2*x).

Then 5^(2x) = 5^(4x+1) and therefore 2x = 4x + 1 hence 2x = -1 hence x = -1 / 2. 

MP
Answered by Marius P. Maths tutor
8925 Views

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