Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
Since the roots are +1 and –1 then the factors are (x – 1) and (x + 1) respectively.
Multiplied out, the result is x2 – 1
Therefore the first blank holds a 0
and the second blank holds a –1
.