Question

the roots of a quadratic polynomial is here: x=1+2^(1/2), x=1-2^(1/2), What is the quadratic function in standard form.

Answer 1

If the roots are :
\[1+\sqrt{2} and 1-\sqrt{2}\]

Answer 2

Then the factors must be:
\[[x-(1+\sqrt{2})][x-(1-\sqrt{2})]

Answer 3

\[[x-(1+\sqrt{2})][x-(1-\sqrt{2})]=0 \]
would be the equation.

Answer 4

Then you need to simplify the left side.

Answer 5

how

Answer 6

Use FOIL

Answer 7

ok

Answer 8

i know what FOIL is

Answer 9

I end up with an answer of 2