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Question
Which of the following options represents the factorised form of p2−17p−38?
Which of the following options represents the factorised form of p2−17p−38?
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Solution
The correct option is A (p−19)(p+2)
We have,
p2−17p−38
=p2−19p+2p−38
[by spliting the middle term, so that the product of their numerical coefficients is equal to the constant term]
=p(p−19)+2(p−19)
=(p−19)(p+2) [∵ x2+(a+b)x+ab=(x+a)(x+b)]
We have,
p2−17p−38
=p2−19p+2p−38
[by spliting the middle term, so that the product of their numerical coefficients is equal to the 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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