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Factorise 2(x^2) +7x+3

Only factors of 2 are 1 and 2, therefore solution will take form of (2x + a)(x + b) to get 2x 2 term. Only factors of 3 are 1 and 3 therefore a and b are either 1 or 3. Playing around and intuition leads us ...
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Answered by Albert R. • Maths tutor
6921 Views

Simplify (3x^2 + x -2)/(x^2 - 1)

First notice that no simplifications can be made to the problem without changing the form. We start by factorising the numerator. The highest power of x in this question is 2, therefore we know that it has t...
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Answered by Arjun A. • Maths tutor
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Determine the equation of the line which is perpendicular to y = 2x + 9 and crosses through the point (1,2)

When multiplied together the gradients of perpendicular lines should give the answer - 1So: x 1 x 2 = -1x 1 = 2 x 2 = -1/2It crosses through the point (1,2)y = ax+ ba = -1/2y = 22 = -1/2 + bb = 5/2so the equ...
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Answered by Aneisha D. • Maths tutor
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Explain the advantages of sexual reproduction in plants

A major advantage of sexual reproduction is the increased genetic diversity that it creates. This originates from novel genetic combinations that result from meiosis and the fusing of the gametes thus produc...
IB
Answered by Iain B. • Biology tutor
35139 Views

A linear sequence starts: a+2b, a+6b, a+10b, ..., ... The 2nd term has a value of 8. The 5th term has a value of 44. Work out the values of a and b.

We know the values for the 2nd and 5th terms and already have the 2nd term as an equation but not the 5th. Therefore, we need to start by working out what exactly the 5th term is in terms of a and b. From lo...
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Answered by Molly T. • Maths tutor
3367 Views