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Question
Question 21
Factorised form of p2−17p−38 is
a) (p−19)(p+2)
b) (p−19)(p−2)
c) (p+19)(p+2)
d) (p+19)(p−2)
Factorised form of p2−17p−38 is
a) (p−19)(p+2)
b) (p−19)(p−2)
c) (p+19)(p+2)
d) (p+19)(p−2)
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Solution
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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