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The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.

This answer is easiest explained using the whiteboard in the interview. The question is basically asking for algebraic long division, we know (x+3) is a factor and are tasked with finding the other 2. We can...
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Answered by Richard M. • Maths tutor
4485 Views

Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, Las...
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Answered by Richard M. • Maths tutor
6730 Views

A ten-sided die with sides numbered 1-10 is thrown. What is the probability of throwing a 1?

There are 10 sides, therefore there are 10 options each roll for what side could be shown. In probability, this means we put 10 as the denominator in the fraction. Now the condition is that a 1 is shown and ...
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Answered by Tutor83237 D. • Maths tutor
8761 Views

Find the value of 5x - 3y when x = -2 and y = -4

This question is all to do with substitution. First, rewrite the question but in instead of writing x and y, put brackets. It will look like this: 5( ) -3( ) Now inside the brackets where x and y would go wr...
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Answered by Tutor83237 D. • Maths tutor
13991 Views

How should I write an introduction for a GCSE English exam?

The best first step for a good introduction is detailed planning. However, in an exam situation there is not much time to spend a long time planning. Luckily, there are some basic guidelines to remember when...
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Answered by Daisy R. • English tutor
12082 Views