Question
Find the quadratic polynomial whose sum of its zeroes (roots) is −85 and the product of the zeroes (roots) is 75.
Answer: Option B
:
B
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B
Given that,
Sum of zeroes = −85
Product of zeroes = 75
Required quadratic polynomial is,
f(x)=[(x2−(sum of roots)x+(product of roots)]
Substituting the given values we get,
f(x)=[x2−(−8)5x+75]
f(x)=[x2+85x+75]
multiplying by 5 we get
f(x)=5x2+8x+7
∴ Required polynomial is 5x2+8x+7.
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