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 zeroSelect an answerAexactly 1Bexactly 3Cexactly 2DNone 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.
Similar Questions
Find a quadratic polynomial each with the given numbers as the sum and product of zeroes respectively:
The quadratic polynomial, the sum, and the product of whose zeroes are 3 and −2 respectively, is
How many zeroes at the most can a polynomial of degree 'n' have?
Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is one, the product of the other two zeroes isSelect an answerA–c/a B–d/a C0Dc/a
If a quadratic equation has a discriminant that equals zero, which of the following statements is always true?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.