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Which of the following expressions are not polynomials?(i) x2 + 2x-2(ii) √(ax) + x2 – x3(iii) 3y3 – √5y + 9(iv) ax1/2 + ax + 9x2 + 4(v) 3x-3 + 2x-1 + 4x + 5 |
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Answer» (i) x2 + 2x-2 The given expression is not a polynomial. Because a polynomial does not contain any negative powers or fractions. (ii) √(ax) + x2 – x3 The given expression is a polynomial. Because the polynomial has positive powers. (iii) 3y3 – √5y + 9 The given expression is a polynomial. Because the polynomial has positive powers. (iv) ax1/2 + ax + 9x2 + 4 The given expression is not a polynomial. Because a polynomial does not contain any negative powers or fractions. (v) 3x-3 + 2x-1 + 4x + 5 The given expression is not a polynomial. Because a polynomial does not contain any negative powers or fractions. |
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