+769 Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
+1926 Let's first note that the quadratic with roots 1 and -1 can be written in the form of
\((x-1)(x+1)=0\)
This is in the form of what we call factored form. Now, expanding this, we have
\(x(x+1) - 1(x+1)\)
Distributing the values in, we have
\(x^2+x-x-1\)
\(x^2-1\)
Thus, we have that the first blank is 0 and the second blank is -1.
Thanks! :)
+1926 Let's first note that the quadratic with roots 1 and -1 can be written in the form of
\((x-1)(x+1)=0\)
This is in the form of what we call factored form. Now, expanding this, we have
\(x(x+1) - 1(x+1)\)
Distributing the values in, we have
\(x^2+x-x-1\)
\(x^2-1\)
Thus, we have that the first blank is 0 and the second blank is -1.
Thanks! :)
