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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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Explain the role of the Loop of Henle in the absorption of water from the glomerular filtrate

After the filtrate in the nephron undergoes Selective Reabsorption in the Proximal Convoluted Tubule, it then travels to the Loop of Henle. The Loop of Henle is a ‘U’ shaped structure found in the Medullary ...
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Answered by Akshee A. • Biology 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
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