Question

1) Identify which of the following expressions are polynomials. If the expression is not a polynomial, say why. x 34² 3 3x3 x 3x² 2 (0) (ii) 3 4 2 Зу 4 5 (ii) 2x - 75x+1 (iv) 3Vx3 - 8 3 4 5​

Answer 1

Answer:

i)4x

2

+5x−2=4x

2

+5x

1

−2x

0

Here power of the equation is 2,1 and 0

Since all powers are whole number, it is a polynomial.

Now, since there is only one variable x,

it is a polynomial in one variable.

(ii)y

2

Here power of the equation is 2

Since all powers are whole number, it is a polynomial.

Now, since there is only one variable y,

it is a polynomial in one variable.

(iii)5=5x

0

Here power of the equation is 0

Now, since there is only no variable or power of the variable is zero which is a whole number

it is a polynomial and known as constant polynomial.