How many quadratic polynomials are there having 4 and –2 as zeroes?
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Answer:
Only 1 quadratic polynomial is possible.
i.e. x^2 - 2x - 8 = 0
Step-by-step explanation:
Quadratic equation is,
Sum of zeros = 4 + (-2) = 2
Product of zeros = 4 * (-2) = -8
Hence,
x^2 - (sum of zeros) x + (product of zeros) = 0
x^2 - (2)x + (-8) = 0
x^2 - 2x - 8 = 0
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