## Related questions with answers

Question

Find a polynomial function $P(x)$ having leading coefficient one, least possible degree, real coefficients, and the given zeros.

$1+\sqrt{2}, 1-\sqrt{2}$, and $3$

Solution

VerifiedStep 1

1 of 6$a=1$

$x_1=1+\sqrt 2$

$x_2=1-\sqrt 2$

$x_3=3$

We are given the polynomial function $P(x)$:

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