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Let p(x) = ax2 + bx + c be a quadratic polynomial. It can have at most –
  • a)
    One zero
  • b)
    Two zeros
  • c)
    Three zeros
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Let p(x) = ax2+ bx + c be a quadratic polynomial. It can have at most ...
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Let p(x) = ax2+ bx + c be a quadratic polynomial. It can have at most ...
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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Let p(x) = ax2+ bx + c be a quadratic polynomial. It can have at most ...
Two distinct roots.
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