Question

If the sum and product of the zeroes are 3 and -10, then what is the quadratic polynomial​

Answer 1

Answer:

Sum of the zeroes = 3

i. e., alpha + beta = 3

Product of zeroes = -10

i. e., alpha × beta = -10

Then the polynomial is of the form,

x² - (alpha + beta) x + (alpha × beta) = 0

x² - 3 × x + (-10) = 0

x² - 3x - 10 = 0

Then the polynomial is x² - 3x - 10.

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