Which of the following is not a polynomial? [1]a) √3x2 − 2√3x + 5 b) x + 3c) 9x2 − 4x + √2 d) 3 x3 + 6x2 − 1 x − 8
Question
Which of the following is not a polynomial? [1]a) √3x2 − 2√3x + 5 b) x + 3c) 9x2 − 4x + √2 d) 3 x3 + 6x2 − 1 x − 8
Solution
The answer is a) √3x2 − 2√3x + 5. This is not a polynomial because the coefficients of the terms are not rational numbers. In a polynomial, all coefficients must be rational numbers. Here, √3 is an irrational number, so this expression does not meet the definition of a polynomial.
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