Find the quadratic polynomial whose zeroes are 3+2√2 and 3-2√2
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1
Answer:
x square-6x+1
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Answered by
3
Answer:
sum of zeroes=(3+2√2+3-2√2)=-b/a
=6 = -b/a
a=1 and b= -6
now product of zeroes=c/a
(3+2√2) (3-2√2)
9-8=1
1=c/a
=c=1
now the general form of a quadratic polynomial is
ax^2+bx+c
put the values of a,b,c we get
x^2-6x+1
this is the required quadratic polynomial
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