10-If two zeros of the polynomial 2x4 - 11x + 7x² + 13x – 7 are 3 + V2 and
3 - V2, find other zeros.
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7x^2 + 13x - 7 ) it being given that two of its zeroes are ( 3 + √(2)) and ( 3 - √(2)) .
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Let f(x)=2x4−11x3+7x2+13x−7
Given : (3+2) and (3−2) are the zeroes of f(x)
So (x−(3+2)) and (x−(3−2)) are factors of f(x)
and (x−(3+2))(x−(3−2))=x2−6x+7 is a factor of f(x)
Divide f(x) by x2−6x+7 we get
set f(x)=0
2x4−11x3+7x2+13x−7=0
(x2−6x+7)(2x2+x−1)=0
(x−(3−(2))(x−(3+2))(2x−1)(x+
Step-by-step explanation:
l hope it will help you
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