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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 (2x 2 +7x-15) comes out as a factor. This can be factorised int...
SW
Answered by Stanley W. • Maths tutor
3828 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 of her. Her use of repetition in ‘da...
JS
Answered by Joseph S. • English tutor
18045 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 = c^2
FD
Answered by Fabienne D. • Maths tutor
3705 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 English. For exa...
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Answered by Fabienne D. • German tutor
1976 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) Der Hund hat die...
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Answered by Fabienne D. • German tutor
2721 Views