3. Which of the following is constant polynomial? (1) 1/2 * x ^ 3 (2) 4/3 (3) 5x ^ 2 + 2 (4) x ^ 2
Question
3. Which of the following is constant polynomial?
(1) 1/2 * x ^ 3
(2) 4/3
(3) 5x ^ 2 + 2
(4) x ^ 2
Solution
The constant polynomial from the given options is (2) 4/3.
A constant polynomial is a polynomial whose degree is 0. In other words, it's a polynomial that doesn't contain any variables like x or y. It's simply a constant number. In this case, 4/3 is a constant number and doesn't contain any variables, so it's a constant polynomial.
The other options: (1) 1/2 * x ^ 3, (3) 5x ^ 2 + 2, and (4) x ^ 2 are not constant polynomials because they all contain the variable x.
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