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Subjects
Class 10MathematicsPolynomialsPolynomials in one variableHardLevel 46
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Which of the following is a factor of the polynomial P(x) = 2x³ − 9x² + 13x − 6?

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Answer and explanation

Correct answer: x − 1

By the Factor Theorem, if P(a) = 0, then (x − a) is a factor of the polynomial. Here, P(1) = 2 − 9 + 13 − 6 = 0, so (x − 1) is a factor. For such questions, quickly test the zero associated with each option.

Related tags

PolynomialsFactor TheoremCubic PolynomialZero Of Polynomial

Frequently asked questions

What is the correct answer to this question?

x − 1

Why is this the correct answer?

By the Factor Theorem, if P(a) = 0, then (x − a) is a factor of the polynomial. Here, P(1) = 2 − 9 + 13 − 6 = 0, so (x − 1) is a factor. For such questions, quickly test the zero associated with each option.

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?
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  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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