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Show that (x+1)(x+2)(x+3) can be written in the form ax^3 +bx^2 + cx + d where a,b,c,d are positive integers.

First we shall expand two of the brackets to obtain a quadratic equation and then multiply each term by the remaining bracket. The order with which we expand the brackets does not matter. Use the FOIL method...
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Answered by Scott W. Maths tutor
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Explain the differences between an uncodified and codified constitution.

The first difference between these two constitutional types is their source. A codified constitution is contained within one single document, whereas the source of a uncodified constitution is spread across ...
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Tom thinks of a number. He squares it, adds 3 times the original number and then subtracts 18. The result is 0. What two numbers could Tom have been thinking of?

Formulate the problem algebraically:x 2 +3x-18=0This is a factorisation problem. To find the solutions, factorise:-Factors of x 2 are 1 and 1 , so answer will take the form: (x +- ?)(x +- ?)=0-List pairs of ...
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Answered by George H. Maths tutor
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Prove that the square of an odd number is always 1 more than a multiple of 4

This is a nice little question off the 2018 Edexcel Higher Maths paper! When we heard the word 'prove' in a question at this level, automatically we should be thinking about using algebra to help us out! Fir...
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Answered by Thomas R. Maths tutor
3924 Views

Translate the following sentence: My friends and I like to help old people when we can. We have no time now because we get a lot of homework.

Things that they are testing here: 'to help' = helfen + DATIVE; 'because' = weil (sends main verb to the END); general adjectival endings and plurals ANSWER(S): Meine Freunde und ich helfen gern ( like to ca...
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Answered by Zac G. German tutor
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