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How to factorise 6x^2-11x-10?

Firstly, when we need to factorise an expression like ax2 + bx + c, we should find two numbers m and n such that mn = ac and m+n = b. In this question, a = 6, b = -11, c = -10. So mn = -60 and ...

Answered by Yunxi S. Maths tutor
15311 Views

Show that (x+2)(x+3)(x+4) can be written in the form of ax^3+bx^2+cx+d where a, b, c and d are positive integers.

This is a 'show that' question which means that you need to prove that something is true. This question wants you to rewrite (x+2)(x+3)(x+4) into the form of ax^3+bx^2+cx+d. To do this, we have to expand ...

Answered by Alicia H. Maths tutor
6411 Views

In a bag of balls, 3 are red, 2 are blue and 5 are green. Two balls are selected from the bag. Calculate the probability that both are green.

Answer:2/9On the first pick of the bag, there are 10 balls in total. Out of these balls, 5 are green. Therefore the probability of picking a green ball will be 5/10 or 1/2. On the second pick of the bag, ...

Answered by Charlie H. Maths tutor
8424 Views

A right angled triangle has two short sides of lengths 5cm and 12cm respectively. What is the length of the third side?

13cm. Using Pythagoras theorem a^2 +b^2 =c^2 we substitute our two known lengths into the equation to get 5^2 + 12^2=c^2.
So now we have c^2= 25+144. So c^2 =169. So c=√169 = 13. Don't forget the un...

Answered by Niall C. Maths tutor
6401 Views

How can I maximise my performance and efficiency in an exam?

Confidence in your mathematical ability and subsequent answers in an exam is key. During an exam you should be confident with the answers that you are giving which can be achieved with steady revision and...

Answered by James S. Maths tutor
2912 Views

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