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प्रश्न
Factorised form of p2 – 17p – 38 is ______.
विकल्प
(p – 19)(p + 2)
(p – 19)(p – 2)
(p + 19)(p + 2)
(p + 19)(p – 2)
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उत्तर
Factorised form of p2 – 17p – 38 is (p – 19)(p + 2).
Explanation:
We have, p2 – 17p – 38
= p2 – 19p + 2p – 38 ...[By splitting the middle term, so that the product of their numerical coefficients is equal constant term]
= p(p – 19) + 2(p – 19)
= (p – 19)(p + 2) ...[∵ x2 + (a + b)x + ab = (x + a)(x + b)]
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