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Class 10MathematicsPolynomialsPolynomials in one variableMediumLevel 47
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If \(3\) is a zero of \(p(x)=kx+12\), what is the value of \(k\)?

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Answer and explanation

Correct answer: -4

A zero of a polynomial makes its value equal to zero, so \(p(3)=0\). Thus, \(3k+12=0\), giving \(3k=-12\) and \(k=-4\). Option A has the wrong sign; in such questions, substitute the given zero into the polynomial and equate the result to zero.

Related tags

Linear PolynomialZero Of PolynomialPolynomial EvaluationParameter

Frequently asked questions

What is the correct answer to this question?

-4

Why is this the correct answer?

A zero of a polynomial makes its value equal to zero, so \(p(3)=0\). Thus, \(3k+12=0\), giving \(3k=-12\) and \(k=-4\). Option A has the wrong sign; in such questions, substitute the given zero into the polynomial and equate the result to zero.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.

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  3. 3Which expression is a polynomial in one variable (x)?
  4. 4What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?
  5. 5What is the constant term of the polynomial \(7x^2+5x-11\)?
  6. 6What is the coefficient of x^2 in 5x^4 − 3x^2 + x − 6?
  7. 7Which polynomial is a quadratic polynomial?
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