Question

Find the quadratic polynomial whose zeros are minus 9 and -1/9

Answer 1

Hi Mate !!

Quadratic polynomial in terms of x is

x² - ( sum of zeros )x + ( product of zeros )

=> x² - ( -82 / 9 ) x + ( 1 ) = 0

Answer 2

Question:-

Find the quadratic polynomial whose zeros are minus 9 and -1/9

$\huge\sf{Answer}$

Zeros : -9, 1/9

Sum of Zeros = -9 + 1/9

⇒ Sum of Zeros = -80/9

Product of Zeros = -9 × 1/9

⇒ Product of Zeros = -1

Therefore the quadratic equation,

⇒ x² - ( - 80/9 ) x + ( -1 ) = 0

⇒ x² + 80x / 9 - 1 = 0

Taking LCM we get,

⇒ 9x² + 80x - 9 = 0  [ Required answer ]

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