9514 1404 393
Answer:
C. The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).
Step-by-step explanation:
The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.
The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.
Additionally, the x-term needs to match the result of multiplying out the factors.
B. (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)
C. (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)
The factors of C are zero when x=-1, x=5/2.
