If (p(x)=6x+c) and (p(2)=17), what is (c)?
Answer and explanation
Correct answer: 5
Given \(p(x)=6x+c\). Substituting \(x=2\), we get \(p(2)=6(2)+c=12+c\). Since \(p(2)=17\), \(12+c=17\), so \(c=5\). If 7 were chosen, then \(p(2)=19\), not the given value 17. Exam tip: while evaluating a polynomial, substitute the given value of \(x\) carefully in every term.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Given \(p(x)=6x+c\). Substituting \(x=2\), we get \(p(2)=6(2)+c=12+c\). Since \(p(2)=17\), \(12+c=17\), so \(c=5\). If 7 were chosen, then \(p(2)=19\), not the given value 17. Exam tip: while evaluating a polynomial, substitute the given value of \(x\) carefully in every term.
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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