If (p(x)=ax-10) and (p(5)=0), what is the value of (a)?
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Answer and explanation
Correct answer: 2
Given p(5)=0, substitute x=5 in the polynomial: 5a-10=0. Thus, 5a=10 and a=2. The value 5 would be obtained only if 5a=25, which is not the case here. Exam tip: while evaluating a polynomial, substitute the given value for every occurrence of x carefully.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Given p(5)=0, substitute x=5 in the polynomial: 5a-10=0. Thus, 5a=10 and a=2. The value 5 would be obtained only if 5a=25, which is not the case here. Exam tip: while evaluating a polynomial, substitute the given value for every occurrence of x carefully.
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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