Question

A quadratic polynomial p(x) = ax² + bx + c can have at most 

a) one zero

b) two zeroes

c) three zeroes

d) none of these

​

Answer 1

Answer:

option c.three zero

Step-by-step explanation:

The polynomial ax

2

+bx+c has three terms. The first one is ax

2

, the second is bx, and the third is c.

The exponent of the first term is 2.

The exponent of the second term is 1 because bx=bx

1

.

The exponent of the third term is 0 because c=cx

0

.

Since the highest exponent is 2, therefore, the degree of ax

2

+bx+c is 2.

Since, the degree of the polynomial is 2, hence, the polynomial ax

2

+bx+c can have zero, one or two zeroes.

Hence, the polynomial ax

2

+bx+c can have at most two zereos.