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Class 10MathematicsPolynomialsPolynomials in one variableEasyLevel 47
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If \(p(x)=x^2+5\), what is the value of \(p(-2)\)?

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Answer and explanation

Correct answer: 9

Substituting \(x=-2\) gives \(p(-2)=(-2)^2+5=4+5=9\). Therefore, the correct answer is 9. Option 7 results from mishandling the squared term; \((-2)^2\) equals 4, not 2. Exam tip: To evaluate a polynomial, substitute the given value for the variable and simplify the powers before performing the remaining operations.

Related tags

PolynomialsSubstitutionQuadratic ExpressionsEvaluation Of Polynomials

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

Substituting \(x=-2\) gives \(p(-2)=(-2)^2+5=4+5=9\). Therefore, the correct answer is 9. Option 7 results from mishandling the squared term; \((-2)^2\) equals 4, not 2. Exam tip: To evaluate a polynomial, substitute the given value for the variable and simplify the powers before performing the remaining operations.

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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10 more MCQs
  1. 1If (p(x)=x²−8x+10), what are its zeroes?
  2. 2If p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?
  3. 3If the sum of zeroes is 2√5 and the product is 4, which is a monic quadratic polynomial?
  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)?
  9. 9What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?
  10. 10What is the constant term of the polynomial \(7x^2+5x-11\)?
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