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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...

JG
Answered by Jennifer G. Maths tutor
2829 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...

CS
Answered by Claudia S. Maths tutor
4430 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(...

AS
Answered by Andrea S. Maths tutor
2632 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

OF
Answered by Olivia F. Maths tutor
6443 Views

Here are the first four terms of a quadratic sequence: 11 26 45 68. Work out an expression for the nth term.

Firstly we must count the values between each of the terms to find the first differences. (EG- 26-11=15, 1st differences: 15,19,23)Next we need to count the values between each of the first differences to...

DC
Answered by Daniel C. Maths tutor
13389 Views

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