Question

Find a quadratic polynomial whose zero are
-9and-1/9

Answer 1

sum of zeroes =(-9)

Product of zeroes =(-1/9)

sum of zeroes =(-b) /a

Hence b=-(-9)=9

Product of zeroes =c/a
hence c=(-1)

and a=9


Hence quadratic equation =9x²+9x-1

Answer 2

Step-by-step explanation:

α = -9   β = -1/9

quadratic polynomial

= k {x ²- (α + β)x + αβ}

= k { x² - (-9 - 1/9)x -9 x -1/9}

= k { x² - (-19/9)x + 1}

= k { x² + 19/9 x + 1}

when k = 1

the quadratic polynomial is x² + 19/9 x + 1

Hope it helps!!

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