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Class 9MathematicsIntroduction to PolynomialsLinear polynomialsMediumLevel 34
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Which option has zero \(-\frac{7}{2}\) for a linear polynomial?

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Answer and explanation

Correct answer: \(2x+7\)

A zero of a polynomial is a value of x that makes the polynomial equal to 0. Substituting \(x=-\frac{7}{2}\) in \(2x+7\) gives \(2\left(-\frac{7}{2}\right)+7=-7+7=0\). Hence, \(2x+7\) is the correct option. The close distractor \(2x-7\) has zero \(\frac{7}{2}\), not \(-\frac{7}{2}\). Exam tip: the zero of \(ax+b\) is \(-\frac{b}{a}\).

Related tags

PolynomialsLinear PolynomialsZeros Of PolynomialsAlgebraic ExpressionsFractional Zeros

Frequently asked questions

What is the correct answer to this question?

\(2x+7\)

Why is this the correct answer?

A zero of a polynomial is a value of x that makes the polynomial equal to 0. Substituting \(x=-\frac{7}{2}\) in \(2x+7\) gives \(2\left(-\frac{7}{2}\right)+7=-7+7=0\). Hence, \(2x+7\) is the correct option. The close distractor \(2x-7\) has zero \(\frac{7}{2}\), not \(-\frac{7}{2}\). Exam tip: the zero of \(ax+b\) is \(-\frac{b}{a}\).

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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