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Maths
GCSE

State the nth term of the following sequence: 3, 7, 11, 15, 19

Start by labelling each term, e.g. 3 is the 1st, 7 is the second etc

Find the difference between each term, in this case +4 so we know our nth term will start with 4n 

Now we substitute in t...

AL
Answered by Alice L. Maths tutor
14129 Views

f(x) = 6x³ + 13x² - 4. Use the factor theorem to show that (x+2) is a factor of f(x)

If x+2 is a factor implies x=-2 is a solution

Sub in x=-2 : f(-2) = 6*(-2)³ + 13*(-2)² -4 = 6*-8 +13*4 - 4 = 0

f(-2) = 0 therefore x+2 is a solution

BS
Answered by Benjamin S. Maths tutor
5041 Views

Fidn the solutions to the quadratic equation: x^2 - 16 = 0

Solve by adding 16 to both sides of the equation yielding: x^2 = 16. Then take the square root of both sides (remembering that taking the square root gives us a positive and a negative answer), giving us ...

PD
Answered by Paul D. Maths tutor
9188 Views

A graph is sketched with the equation x^2+4x-5. Find the minimum point of this graph.

Okay so the first thing we can identify is that it is a quadratic, hence the x2 at the beginning. From this we can now start to answer the question. To calculate the minimum po...

HS
Answered by Harry S. Maths tutor
4399 Views

For the curve C with equation y = x4 – 8x2 + 3. Find dy/dx

dy/dx= 4x3 _ 16x

EP
Answered by Edward P. Maths tutor
3514 Views

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