Question

21. A teacher asked 10 of his stude
to write a polynomial in one variable
on a paper and then to hande
the paper. The following were the
answers given by the students
3. v3.x2 + 7x + 2,4x + 3x + 2 + + 7. 7x + 7,5x3 - 7x + 2,
2x +3 - 5r-2 ax + brt ter+d,x+!
Answer the following questions:
(i) How many of the above ten, are not polynomials?
(ii) How many of the above ten, are quadratic polynomials ?
VX =​

Answer 1

Answer:

answer mile to bataana please

Answer 2

(i) 3 out of the above ten, are not polynomials.

(ii) 1 of the above ten, are quadratic polynomials

First of all, let us see what are polynomials.

Polynomials are those mathematical expressions where the variables have integers exponent that are positive.

Given, the expressions are 2x + 3, 3x² + 7x + 2, 4x³ + 3x² + 2, x³√3x + 7, 7x + √7, 5x³ - 7x + 2,  2x² + 3 - 5/x , 5x - x/2,  ax³ + bax² + cx + d, x + 1/x

The powers of x containing -1 like 5/x, x/2 and 1/x do not fall under the category of polynomials.

So, 3 of 10 are not polynomials.

Any expression expressed in the form of ax² + bx + c are quadratic equations.

Out of the 10, only  3x² + 7x + 2 satisfy this condition so it is a quadratic polynomial.