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Question
Factorize the expression pq−2q−5p+10 and state the conditions on p,q such that when numerical values are substituted for p and q, the given expression is equal to 0.
Factorize the expression pq−2q−5p+10 and state the conditions on p,q such that when numerical values are substituted for p and q, the given expression is equal to 0.
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Solution
The correct option is B (p−2)(q−5)
0 when q=5
Given a polynomial expression pq−2q−5p+10
Taking common q from the first two terms and −5 from the last two terms:
pq−2q−5p+10
=q(p−2)−5(q−2)
=(p−2)(q−5)
The factorization of the polynomial expression pq−2q−5p+10 is (p−2)(q−5).
The expression (p−2)(q−5) would be equal to 0 when p=2 or q=5.
Therefore, option (a.) and (b.) are the correct answers.
0 when q=5
Given a polynomial expression pq−2q−5p+10
Taking common q from the first two terms and −5 from the last two terms:
pq−2q−5p+10
=q(p−2)−5(q−2)
=(p−2)(q−5)
The factorization of the polynomial expression pq−2q−5p+10 is (p−2)(q−5).
The expression (p−2)(q−5) would be equal to 0 when p=2 or q=5.
Therefore, option (a.) and (b.) are the correct answers.
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