find a qudratic polynomial whose zero are -9 and-1/9
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Answer:
9x²+82x+9
Step-by-step explanation:
α=(-9), β=(-1/9)
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-{(-9)+(-1/9)}x+(-9)×(-1/9)
=x²-(-9-1/9)x+(-1)(-1)
=x²-(-81-1/9)x+1
=x²-(-82/9)x+1
=x²+82/9x+1
Multiple each term by 9
=x²×9+82/9×9x+1×9
=9x²+82x+9
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