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Quadratic Equations and factorising

These questions from my own experience were some of the hardest in the GCSE maths course and need careful explaining in order to understand them properly and be able to complete them independently.These q...

Answered by Jack K. Maths tutor
2364 Views

If (x+1) is a factor of 2x^3+21x^2+54x+35, fully factorise 2x^3+21x^2+54x+35

In order to find the other factors, we need to do polynomial division. We can do this by method of long division. We start by finding what we must times the x in (x+1) by to get the largest term of the po...

Answered by Jennifer G. Maths tutor
2554 Views

How do you convert fractions to decimals? For example. Convert 13/20 to a decimal.

One way to convert fractions to a decimal is to divide the top number by the bottom. However with fractions like this, it is not easy to do without a calculator. So, you must use another method. Since div...

Answered by Claudia S. Maths tutor
3965 Views

Differentiate f(x) = x sin(x)

In this question, we have the product of two separate terms, so we will choose to use the product rule for this question. Recall, for f(x) = u(x) v(x): f'(x) = u'(x) v(x) + u(x) v'(x). Here, we can set u(...

Answered by Andrea S. Maths tutor
2374 Views

Expand these brackets 3x(x - 2)

3x(x-2)You do 3x times everything in the bracket so 3x * x = 3x2 and 3x * -2 = -6x (negative * a postive = a negative)Then combine the two to give you 3x2 - 6x

Answered by Olivia F. Maths tutor
5547 Views

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