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Tenzin is given this question - OCR - GCSE Maths - Question 13 - 2018 - Paper 4

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Tenzin is given this question. Factorise fully. $2x^2 + 6x$ Here is his answer. $2x^2 + 6x = x(2x + 6)$ Explain why Tenzin's answer is not correct.

Worked Solution & Example Answer:Tenzin is given this question - OCR - GCSE Maths - Question 13 - 2018 - Paper 4

Step 1

Explain why Tenzin's answer is not correct.

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Answer

Tenzin's answer is not correct because he did not fully factor the expression. He factored out only one common factor, which is xx, but he did not take into account the full common factor of 2x2x. The correct factorization should be:

2x2+6x=2x(x+3)2x^2 + 6x = 2x(x + 3)

By leaving out the 22, Tenzin's factorization is incomplete.

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