Question

find a quadratic polynomial whose sum and product of zeroes are 6 and 9 respectively​

Answer 1

Given that,

➢ Sum of the zeroes : α + ß 6

➢ Product of the zeroes : αß = 9

Form of quadratic polynomial is

↪ x² - (α + ß)x + αß = 0

➡ x² - (6)x + 9 = 0

➡ x² - 6x + 9 = 0

∴ Hence the quadratic polynomial is x² - 6x + 9 = 0

Step-by-step explanation:

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Answer 2

Sum of the zeroes : a + B 6

Product of the zeroes : aß = 9

Form of quadratic polynomial is

x² - (a + B)x + aß = 0

x² - (6x + 9 = 0

x2 - 6x + 9 = 0

: Hence the quadratic polynomial is x? -

6x + 9 = 0