find the zeroes of the quadratic polynomial
Find the zeroes of the quadratic polynomial
Answer:
To find the zeroes of a quadratic polynomial, we need to solve for the values of the variable that make the polynomial equal to zero. The zeros of a quadratic polynomial are the points where the graph of the polynomial intersects the x-axis.
A quadratic polynomial is typically in the form of ax^2 + bx + c, where a, b, and c are constants. To find the zeroes of the quadratic polynomial, we can use the quadratic formula or factorization, depending on the given expression.
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Using the Quadratic Formula:
The quadratic formula is given by x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}. By substituting the values of a, b, and c into this formula, we can calculate the zeroes of the quadratic polynomial. -
Using Factorization:
If the quadratic polynomial can be factored, then we can find the zeroes by setting each factor equal to zero and solving for the variable. For example, if the polynomial is x^2 - 5x + 6, we can factor it as (x - 2)(x - 3), and set each factor to zero to find the zeroes.
In this case, LectureNotes mentioned finding the zeroes of the quadratic polynomial, but the specific polynomial was not provided. Depending on the coefficients of the quadratic polynomial, the method of finding the zeroes may vary. If the coefficients were provided, we could apply the appropriate method to find the zeroes.
If you have a specific quadratic polynomial for which you need to find the zeroes, feel free to provide the polynomial, and I can guide you through the process of determining its zeroes using the quadratic formula or factorization method.