+950 Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
+1950 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
x2+x−x−1
x2−1
Thus, we have that the first blank is 0 and the second blank is -1.
Thanks! :)
+1950 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
x2+x−x−1
x2−1
Thus, we have that the first blank is 0 and the second blank is -1.
Thanks! :)
