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If q(x)=x^3+2x^2-5x-6, what is the value of q(-2)?

Answer and explanation

Correct answer: 4

Substitute x=-2 in the polynomial: q(-2)=(-2)^3+2(-2)^2-5(-2)-6=-8+8+10-6=4. Therefore, the correct value is 4. An answer such as 2 may result from incorrectly treating -5(-2) as -10. In exams, evaluate the power and sign of each term separately when substituting a negative number.

Related tags

Polynomial EvaluationNegative SubstitutionCubic PolynomialSign CalculationPolynomials In One VariablePolynomialsMathematicsClass 10 Mcq

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