Question

how to do middle term splitting

Answer 1

Answer:

Step-by-step explanation:

We need to get the middle term in such a way that the middle terms when multiplied will yield -273 and when added will give 32.

273 on factorisation is 3 × 7 × 13

Now combining 13 and 3 we get,

273 = 39 × 7

Now we know that 39 - 7 is 32 and 39 × -7 is -273.

Hence the middle terms are 39 and -7.

Factorisation:

⇒ x² + 39x - 7x - 273 = 0

⇒ x ( x + 39 ) -7 ( x + 39 ) = 0

⇒ ( x - 7 ) ( x + 39 ) = 0

These are the required factors.

Thanks !!

Answer 2

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