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If (q(x)=x^6+2x^4+3x^2+4), what type of powers does this polynomial have?

Answer and explanation

Correct answer: Only even powers

The powers of x in the polynomial are 6, 4, 2, and 0; the constant term 4 has power 0. All of these are even integers, so the correct choice is only even powers. A polynomial with only odd powers would contain powers such as 1, 3, or 5. Exam tip: Always count the power of a constant term as 0.

Related tags

PolynomialsEven PowersExponent Of VariableConstant TermClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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