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IgorLugansk [536]
3 years ago
7

Factorise x²+14x+24.

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0

Answer:

x²+14x+24 = (x+2)(x+12)

Step-by-step explanation:

We need to factorize the given expression i.e. x²+14x+24.

We find two integers such that their sum is 14 and product is 24.

x²+14x+24 = x²+12x+2x+24

=x(x+12)+2(x+12)

= (x+2)(x+12)

Hence, the factors of the given expression is (x+2)(x+12).

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On re-writing the expression after borrowing 1, we have,

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