Find a quadratic polynomial whose zeroes are 2 root 7 and -2 root 7
Answers
Answer:
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Step-by-step explanation:
We are given zeroes. I so by the formula we will find the quadratic equation.
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Answer:
Step-by-step explanation:
α = 2√7 , β = -2√7
sum of zeros (α+β)= 2√7 + (-2√7)
= 2√7 - 2√7
= 0
product of zeros (αβ) = (2√7)(-2√7)
= -4×7
= -28
quadratic polynomial = [x²+(sum of zeros)x+product of zeros]
= [x²+ 0x + (-28)]
= x² + 0x - 28
or x² - 28