Which of the following is/are not polynomial(s)? A) 3
B) $4 x^{2} + 5 \sqrt{x}$
C) $\sqrt{3} x^{3} + x + 1$
D) 4x+5

Question

Which of the following is/are not polynomial(s)? A) 3 B)   4      x    2    +  5      x  C)       3        x    3    +  x  +  1D) 4x+5

CeatMessysga · Accepted Answer

The correct answer is B)   4      x    2    +  5      x  Explanation:For an expression to be a polynomial,1) The coefficients must be real numbers2) The variable(s)&#039; exponents must be whole numbers.3 can be written as   3  ×      x    0  . Since the coefficient (3) is a real number and the exponent (0) is a whole number, the expression is a polynomial.  4      x    2    +  5      x    =  4  ×      x    2    +  5  ×      x                  1        2            . The coefficients, 4 and 5, are real numbers. Since       1    2   is not a whole number, the expression is not a polynomialIn the expression       3        x    3    +  x  +  1, the coefficients (√3,1 and 1) are real numbers and the exponents (3,1 and 0) are whole numbers. Hence, it is a polynomial.The expression 4x+5 is a polynomial as the coefficients (4 and 5) are real numbers and the exponents (1 and 0) are whole numbers

Which of the following is/are not polynomial(s)?

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