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Class 10MathematicsPolynomialsPolynomials in one variableMediumLevel 47
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If the coefficient of \(x\) in the polynomial \(x^3+2x^2+cx+5\) is 6, what is the value of \(c+5\)?

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Answer and explanation

Correct answer: 11

In the polynomial \(x^3+2x^2+cx+5\), the coefficient of \(x\) is \(c\). Hence, \(c=6\), so \(c+5=6+5=11\). Option 6 is only the value of \(c\), not of \(c+5\). Exam tip: First identify the coefficient, then substitute its value in the required expression.

Related tags

PolynomialsCoefficient Of XLinear TermAlgebraic ExpressionsEvaluation

Frequently asked questions

What is the correct answer to this question?

11

Why is this the correct answer?

In the polynomial \(x^3+2x^2+cx+5\), the coefficient of \(x\) is \(c\). Hence, \(c=6\), so \(c+5=6+5=11\). Option 6 is only the value of \(c\), not of \(c+5\). Exam tip: First identify the coefficient, then substitute its value in the required expression.

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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  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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