Question

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and -35 respectively.
Hence find the zeroes.​

Answer 1

Answer:

Sum of the zeroes = 0

i. e., alpha + beta = 0

Product of zeroes = -35

i. e., alpha × beta = -35

Then the polynomial is of the form

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

x² - 0 × x + -35 = 0

x² - 0 - 35 = 0

x² - 35 is the polynomial

x² = 35

x = √35

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