Factorize:
x²-2√2x-30
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The expression is given as : x² - 2√2x - 30
In order to factorise the given expression , we have to find out two numbers p and q such that p + q = - 2√2 and pq = - 30 :
Clearly, - 5√2 + 3√2 = - 2√2 and - 5√2 × 3√2 = 30
So, we write the middle term - 2√2 as - 5√2 + 3√2 :
= x² - 5√2x + 3√2x - 30
Factorise by the grouping :
= (x² - 5√2x) + (3√2x - 30)
= x(x - 5√2) + 3√2 (x - 5√2)
= (x - 5√2) (x + 3√2)
Hence, the factorisation of x² - 2√2x - 30 is (x - 5√2) (x + 3√2) .
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Answer:
Step-by-step explanation:
= x² - 5√2x + 3√2x - 30
= (x² - 5√2x) + (3√2x - 30)
= x(x - 5√2) + 3√2 (x - 5√2)
= (x - 5√2) (x + 3√2)
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