find a quadratic polynomial whose zeros are (3+root2) & (3-root2)
Answers
Answer: hi friend,
given.,a quadratic polynomial whose zeroes are 3+root2 and 3-root2
<>sum of zeros →3+√2+3-√2→6
<>product of zeros → (3)²-(√2)²=7
quadratic polynomial will be
<>x²-(sum of zeros)x+product of zeros
<>x²-6x+7
I hope this will help u:)
Hello There !
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Two zeros are 3+√2 , 3-√2
Sum of zeros (S) = 3+√2+3-√2 = 6
product of zeros (P) = 3+√2(3-√2)
= 9 -3√2+3√2-2
= 7
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Quadratic equation = k(x²-Sx+P)
Let k = 1
Quadratic equation = x²-6x+7
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Answer:
x2-6x+7
Step-by-step explanation:
given, a quadratic polynomial whose zeroes are 3+root2 and 3-root2
=sum of zeros =3+√2+3-√2=6
=product of zeros = (3)²-(√2)²=7
quadratic polynomial will be
=x²-(sum of zeros ) x+ product of zeros
=x²-6x+7