2 years ago

Consider the function f, where f(x) = x^2 + 2x - c and c is an integer.

Mathematics

1 answer:

Solnce55 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

For the function f(x) = x^2 + 2x - c to have integer zeros it must factor. Substitute c for the values listed below and see which options factor.

A. 2

f(x) = x^2 + 2x - 2 does not factor

B. 3

f(x) = x^2 + 2x - 3 does factor into (x + 3)(x - 1) so the zeros would be x = -3, 1

C. 4

f(x) = x^2 + 2x - 4 does not factor

D. 6

f(x) = x^2 + 2x - 6 does not factor

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