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Class 10MathematicsPolynomialsPolynomials in one variableHardLevel 47
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If (p(x)=3x^2-2x+1), what is (p(x)+p(-x))?

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Answer and explanation

Correct answer: (6x^2+2)

(p(-x)=3x^2+2x+1), so the sum is (6x^2+2). Odd-power terms change signs when (x) is replaced by (-x).

Related tags

Polynomial TransformationEven Odd TermsEvaluation

Frequently asked questions

What is the correct answer to this question?

(6x^2+2)

Why is this the correct answer?

(p(-x)=3x^2+2x+1), so the sum is (6x^2+2). Odd-power terms change signs when (x) is replaced by (-x).

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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