Q8 of 13 Page 48

Factorize: 7√2 x2 – 10x – 4√2.

By splitting the middle term

Step 1 – Multiply 1st and last term


7√2x2 × (–4√2)


–56x2


Step 2 – Find the factors of 56 in such a way that addition or subtraction of that factors is the middle term (–10x).


= 7√2 x2 –14x + 4x – 4√2


= 7√2x (x – √2) + 4 (x – √2)


= (7√2x + 4) (x – √2)


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