If (p(x)=5x+a) and (q(x)=7x-a), what is (a) if the zero of (p(x)+q(x)) is (1)?
Answer and explanation
Correct answer: No such value
We get p(x)+q(x)=(5x+a)+(7x-a)=12x. The terms a and -a cancel, so the sum polynomial does not depend on any value of a. The only zero of 12x is 0, since 12x=0 gives x=0. Hence, no value of a can make 1 a zero. Exam tip: While adding polynomials, first check whether opposite constant terms cancel.
Frequently asked questions
What is the correct answer to this question?
No such value
Why is this the correct answer?
We get p(x)+q(x)=(5x+a)+(7x-a)=12x. The terms a and -a cancel, so the sum polynomial does not depend on any value of a. The only zero of 12x is 0, since 12x=0 gives x=0. Hence, no value of a can make 1 a zero. Exam tip: While adding polynomials, first check whether opposite constant terms cancel.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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