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Class 10MathematicsPolynomialsPolynomials in one variableExpertLevel 48
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If (p(x)=2x^3+kx^2-11x+5) leaves remainder (7) when divided by (x+1), what is (k)?

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Answer and explanation

Correct answer: (-9)

By the remainder theorem (p(-1)=7), so (-2+k+11+5=7). This gives (k=-7), so none of the listed options is correct.

Related tags

Remainder-TheoremParameterTrap

Frequently asked questions

What is the correct answer to this question?

(-9)

Why is this the correct answer?

By the remainder theorem (p(-1)=7), so (-2+k+11+5=7). This gives (k=-7), so none of the listed options is correct.

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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  4. 4If √2 and √8 are zeroes of a quadratic polynomial, what is the sum of the zeroes?
  5. 5If p(x) = x² − 2√2x + 2, which is the correct factorized form of p(x)?
  6. 6Which polynomial has rational coefficients and zeroes 1 + √2 and 1 − √2?
  7. 7Which option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?
  8. 8Which expression is a polynomial in one variable (x)?
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  10. 10What is the constant term of the polynomial \(7x^2+5x-11\)?
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