Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

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For this question, I would first explain that this is an algebraic expansion question. To write the equation in the form asked, it would be easier to expand two brackets at a go. I would take this opportunity to write on the whiteboard, (x+1) x (x+2) which would give x^2 + 3x +2. I would also explain how I came to that answer through each multiplication within the bracket.Thereafter, the answer we got previously should be multiplied by (x+3). This will be given by(x^2+3x+2) x (x+3) = x^3+5x^2+8x+6. Through normal expansion methods. I would again explain how I came to that answer through each multiplication within the bracket.

PARTH B.

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PARTH B. is an online Maths tutor with MyTutor studying at Sheffield University

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