name the polynomial p(x)=ax² + bx + c on the basis of the number of the terms is
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Answer:
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.
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