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

Question 13

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 $x$ , but he did not take into account the full common factor of $2x$ . The correct factorization should be:

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

By leaving out the $2$ , Tenzin's factorization is incomplete.

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