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Find all three roots of the cubic: 2x^3 +5x^2 - 22x +15=0.

First try a trivial solution, x=0: doesn't work. Then try x=1 this does work so (x-1) is a factor of the cubic. Through algebraic factorisation (2x2+7x-15) comes out as a factor. This can be fa...

SW
Answered by Stanley W. Maths tutor
3206 Views

Compare attitudes to love as presented in Christina Rossetti's 'Remember' and Shakespeare's 'Sonnet 116'

It’s in their exploration of time’s relationship to love that the two poems differ most starkly. Rossetti acknowledges that time may ultimately trounce her lover's memory...

JS
Answered by Joseph S. English tutor
16493 Views

What do I need the Pythagoras theorem for?

As an example you can use it to calculate the length of the hypotenuse in a triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides.

As a formula a^2 + b^2 ...

FD
Answered by Fabienne D. Maths tutor
2993 Views

What is the subjunctive?

The subjunctive is used to express wishes, probabilities, or conditions which are contrary to fact. It is called Konjunktiv 2 in German.

It would be like the "would do" function in Englis...

FD
Answered by Fabienne D. German tutor
1599 Views

What is the difference between passive and active?

Passive is often used when the focus on the action, not so much the person involved. Active on the other hand seems more vivid.

As an example you could say:

The dog ate the sausage. (Active)...

FD
Answered by Fabienne D. German tutor
2086 Views

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