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Class 10MathematicsPolynomialsPolynomials in one variableExpertLevel 46
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If (x-2) is a factor of (p(x)=x^3+kx^2-4x-4), what is the value of (k)?

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Answer and explanation

Correct answer: (1)

By factor theorem (p(2)=0), so (8+4k-8-4=0) and (k=1). In exams, substitute the given zero directly.

Related tags

Factor-TheoremPolynomialsExpert

Frequently asked questions

What is the correct answer to this question?

(1)

Why is this the correct answer?

By factor theorem (p(2)=0), so (8+4k-8-4=0) and (k=1). In exams, substitute the given zero directly.

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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  1. 1If (p(x)=x^2-8x+10), what are its zeroes?
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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?
  8. 8Which expression is not a polynomial?
  9. 9For the polynomial \(p(x)=2x^2-3x+1\), what is the value of \(p(1)\)?
  10. 10How many terms are there in q(x) = x^3 + 2x^2 − x + 4?
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