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What type of polynomial is (23) considered?

Answer and explanation

Correct answer: Constant polynomial

Direct answer: Option A, constant polynomial, is correct. The number 23 contains no variable, so it does not change when x changes. It can be written as 23x^0 because x^0 equals 1 for non-zero x, so the only effective term has exponent 0. A non-zero constant polynomial therefore has degree 0. Option B, linear polynomial, must have degree 1 and normally contains a non-zero x term, which 23 does not. Option C, quadratic polynomial, must have degree 2 and contain a non-zero x^2 term, which is absent. Option D, zero polynomial, is specifically the polynomial whose value is always 0; 23 is non-zero, so it is not the zero polynomial. The word constant means the value stays fixed, not that it must be zero. Memory cue: no variable and a non-zero number means constant polynomial of degree 0; only the number 0 is the zero polynomial.

Related tags

Definition-PolynomialConstant-PolynomialDegree-Zero

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