Question

A teacher asked 10 of his students to write a polynomial in one variable on a paper and then to hand over the paper. The following were the answers given by the students: `2x + 3, 3x^2 + 7x + 2, 4x^3 + 3x^2 + 2, x^3 + sqrt(3x) + 7, 7x + sqrt(7), 5x^3 - 7x + 2, 2x^2 + 3 - 5/x, 5x - 1/2, ax^3 + bx^2 + cx + d, x + 1/x`.

Answer the following question:

1. How many of the above ten, are not polynomials?   [1]
2. How man of the above ten, are quadratic polynomials?   [1]

Answer 1

i. `x^3 + sqrt(3x) + 7, 2x^2 + 3 - 5/x` and `x + 1/x` are not polynomials.

ii. 3x² + 7x + 2 is only one quadratic polynomial.