+617 Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
+42 \(\text{By Vieta's formulae the sum of roots is -b/a, } \text{and the product is c/a}\)
if they are in an quadratic ax^2 + bx + c = 0
WE KNOW A = 1 :)
Therefore, the sum of the roots is -b and the product is c
The roots are 1 and -1, so the sum is 0 and the product is -1
Given that -b = 0 and c = -1, or b = 0 and c = 1, plug the values back into the equation x^2 + bx + c = 0 to get your final answer
Please like if this answer was correct. Thank you.
