find the polynomial whose sum of zeroes is 1/4 and the product of zeroes is -1/4
Answers
Answered by
1
Answer:
4x2-x-1=0
Step-by-step explanation:
x2-sum of roots + product of roots =0
x2-1/4x-1/4=0
4x2-x-1=0
Answered by
40
Answer:
4x² - x - 1
Step-by-step explanation:
Sum of zeroes:
=> 1/4
Product of zeroes:
=> -1/4
Quadratic polynomial:
=> x² - (Sum of zeroes)x + (Product of zeroes)
>> x² - (1/4)x + (-1/4)
>> x² - 1/4x - 1/4
>> 4x² - x - 1/4 [Cross multiply]
>> 4x² - x - 1 [Multiply by 4]
>> 4x² - x - 1 is the required polynomial.
Learn more:
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Find the quadratic polynomial sum and product of whose zeroes are -1 and -20 respectively. Also, find the zeroes of the polynomial so obtained.
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