p2-2p - 15 plzz tell its a factorization quess............
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Correct question:
Factorise: p²- 2p - 15
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Solution:
In order to factorise a given expression, follow these steps:
- Check if you can take out common factor from all the terms.
- Regrouping the terms.
- Using identity (a+b)² = a²+ 2ab + b²
- Using identity (a-b)² = a²- 2ab + b²
- Using identity a²-b² = (a+b) (a-b)
- Splitting the middle term.
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Coming on to the question,
p²- 2p - 15
Here we will split the middle term.
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Steps for Splitting the middle term:
- Find product of first and last term.
We can ignore the variable.
- Write the factors of the product so obtained.
- Now find two numbers, whose product is that of first and last term and whose sum or difference is equal to the middle term.
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Now,
p²- 2p - 15
p²- (5-3)p - 15
p² -5p +3p -15
Regrouping the terms,
(p² -5p) +(3p -15)
Taking out common from each group,
p(p-5) + 3(p-5)
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Final answer:
The factorised form of p²-2p-15 is
(p+3) (p-5).
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