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The number of unique zeroes of a quadratic polynomial with value of discriminant equal to zeroSelect an answerAexactly 1Bexactly 3Cexactly 2DNone of these

Question

The number of unique zeroes of a quadratic polynomial with value of discriminant equal to zero

Select an answer

  • A. exactly 1
  • B. exactly 3
  • C. exactly 2
  • D. None of these
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Solution

The answer is A: exactly 1.

Here's why:

A quadratic polynomial is of the form ax^2 + bx + c = 0. The discriminant of this polynomial is given by the formula D = b^2 - 4ac.

The discriminant tells us about the roots of the polynomial. If D > 0, the polynomial has 2 distinct roots. If D = 0, the polynomial has exactly 1 unique root (or the roots are repeated). If D < 0, the polynomial has no real roots.

In this case, we're told that the discriminant is equal to zero. Therefore, the quadratic polynomial has exactly 1 unique root.

This problem has been solved

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