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Class 9MathematicsIntroduction to PolynomialsLinear polynomialsMediumLevel 33
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If (p(x)=7x+c) and (p(1)=2), what is (c)?

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Answer and explanation

Correct answer: -5

Given p(x)=7x+c, substituting x=1 gives p(1)=7(1)+c=7+c. Since p(1)=2, we have 7+c=2, so c=-5. If c were 5, then p(1) would be 12, not 2. Exam tip: In polynomial-value questions, substitute the given value of x first and then solve the resulting equation.

Related tags

PolynomialsLinear PolynomialsSubstitutionConstant TermAlgebra

Frequently asked questions

What is the correct answer to this question?

-5

Why is this the correct answer?

Given p(x)=7x+c, substituting x=1 gives p(1)=7(1)+c=7+c. Since p(1)=2, we have 7+c=2, so c=-5. If c were 5, then p(1) would be 12, not 2. Exam tip: In polynomial-value questions, substitute the given value of x first and then solve the resulting equation.

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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10 more MCQs
  1. 1If the highest power in a polynomial is 1, what is it called?
  2. 2Which expression is not a linear polynomial?
  3. 3Which expression is a polynomial but not a linear polynomial?
  4. 4Which statement is correct about the zeroes of a non-zero linear polynomial?
  5. 5Which expression is a polynomial in (s) and has degree (1)?
  6. 6If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial, which property of its graph is always true?
  7. 7Which of the following expressions is a linear polynomial in \(x\)?
  8. 8A taxi charges a fixed fee of ₹50 and ₹12 per kilometre. If the distance travelled is represented by \(x\), which statement about \(C(x)=12x+50\) is correct?
  9. 9What type of polynomial is (4x-9)?
  10. 10What is the degree of a linear polynomial?
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