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p(x)=2x^3 + 7x^2 + 2x - 3. (a) Use the factor theorem to prove that x + 3 is a factor of p(x). (b) Simplify the expression (2x^3 + 7x^2 + 2x - 3)/(4x^2-1), x!= +- 0.5

(a) The factor theorem states that: the polynomial f(x) has a factor (x - a) if and only if f(a) = 0.Use that information, we know that (x + 3) is a factor of p(x) if p(-3) = 0. So let's test it:p(-3) = 2(-3...
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Answered by James M. • Maths tutor
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There are a collection of CDs. There are 2 Rock CDs, x Pop CDs and 2x + 5 Jazz CDs. A CD is chosen at random, the probability that it is Rock is 1/20. Work out the probability it is Jazz.

To answer this question first we need to work out how many CDs we have in total. We do this by adding up the number of CDs in each category:Total = 2 + x + 2x + 5. We can simplify this to give:Total = 3x + 7...
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Answered by James M. • Maths tutor
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A circle is touching a square. The area of the square is 64 cm^2. Work out the area of the circle.

The first step of looking at a question like this is to highlight all the important information in the question. We are told that the square has an area of 64 cm 2 so what can we infer about the square based...
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Answered by James M. • Maths tutor
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What is a determiner?

A determiner is a grammatical word that introduces a noun. For example, a, the, many, every etc. Determiners a/an are called indefinite articles, which means that there is no definite reference to what the n...
IK
Answered by Iffat K. • English tutor
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Outline ONE strength and ONE weakness of the research method you described previously. (4 marks - Edexcel)

One strength of a laboratory experiment is they allow a high level of control over the procedure so all participants will witness the same standardised procedure. This means the procedure can be repeated on ...
CS
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