Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. From that, find the zeroes of the polynomial:
2÷3,-8÷9
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ANSWER:
given that,
• sum of zeroes = (2/3)
product of zeroes = (-8/9)
SO,
→ x² - (sum of zeroes)x+ product of
zeroes = 0
→ x² - (2/3)x + (-8/9) = 0
→ x² - (2x/3) - (8/9) = 0
→ (9x² - 6x - 8) /9 = 0
9x² - 6x - 8 = 0 (Ans.)
Step-by-step explanation:
above
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