Question: If b and c are integers such that the equation 3xsquared + bx + c= 0 has only one real root, which of the following
statements must be true?
1. b is even
2. c is odd
3. bsquared is a multiple of 3.
The problem is I can only guess at this one. I know that if the equation is equal to zero, there is only one real root. That is all I know. #3 seemed plausible if I imagine factoring the polynomial, but the answer includes #1, in addition to #3. I can understand the answer if I imagine factoring the polynomial, but is there a simpler answer to this question that eludes me?
0313
statements must be true?
1. b is even
2. c is odd
3. bsquared is a multiple of 3.
The problem is I can only guess at this one. I know that if the equation is equal to zero, there is only one real root. That is all I know. #3 seemed plausible if I imagine factoring the polynomial, but the answer includes #1, in addition to #3. I can understand the answer if I imagine factoring the polynomial, but is there a simpler answer to this question that eludes me?
0313