Find a quadratic polynomial whose zeroes are 3 + √2 and 3 – √2.
plz ans.
Answers
Answered by
2
Step-by-step explanation:
Equation form :
x²-(sum of roots)x + product of roots =0
Sum of roots = 3+√2+3-√2 = 6
Product of roots = (3+√2)(3-√2)
= 9-2 =7 [(a+b)(a-b)=a²-b²]
therefore equation is x²-6x+7=0
Answered by
1
Answer:
(a+b) =(3-√2) +(3-√2)
=3+3
= 6
(axb) = (3-√2) (3-√2)
=(3x3)-(√2x√2)
=(9-2)
= 7
quadratic polynomial equation:
x2+(a+b)x-(axb) =0
x2+6x-7=0
that is answer.
all the best.
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