9514 1404 393
Answer:
6
Step-by-step explanation:
The sum of the roots (y-intercepts) of the polynomial is the opposite of the ratio of the linear term coefficient and the leading coefficient.
b + c = -(-6/2) = 3
The x-intercept is the constant: a = 3
Then the sum a+b+c is ...
a + (b +c) = 3 + 3 = 6
_____
Additional comment
The factored form of the polynomial for the given intercepts will be ...
x = 2(y -b)(y -c)
and the expanded form of that is ...
x = 2y^2 -2(b+c)y +2bc
The y-coefficient is ...
-2(b+c) = -6
b +c = 3 . . . . . . . divide by -2. This is the result used above.
We show the graph so you can add up the values of the intercepts to see that the sum is 6.
