find a quadratic polynomial whose zeroes are 5-3 root2 and 5+3 root2
Answers
Answered by
2
Step-by-step explanation:
If 5±3
2
are roots of polynomial then
x−(5+3
2
) and x−(5−3
2
) are factors of the polynomial
∴[x−(5+3
2
)][x−(5−3
2
)]
=x
2
−x(5−3
2
+5+3
2
)+(5+3
2
)(5−3
2
)
=x
2
−10x+(25−9(2))
=x
2
−10x+7
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