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
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.
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