Mathematics

Mathematics

Problem

A rectangular garden has its length represented by the polynomial 28a2−49a+2128a^{2}-49a+21 metres. The owner wishes to express this length as a product of simpler factors to plan fencing. a. (i) Factorise the polynomial 28a2−49a+2128a^{2}-49a+21 completely. b. (ii) Using your factorisation, calculate the length of the garden when a=3a=3 metres.

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