9. consider the function f(x) = x² + 3x – 4.
part a: what is the factored form of f(x)? show
your work.
a. f(x) = (x + 1)(x – 4)
b. f(x) = (x - 1)(x + 3)
c. f(x) = (x + 4)(x - 1)
d. f(x) = (x − 2)(x + 2)

  c.  f(x) = (x + 4)(x - 1)

Step-by-step explanation:

Since you're familiar with the product of two binomials:

  (x +a)(x +b) = x² + (a+b)x + ab

you know that the constants in the binomial factors must ...

__

All of the choices except B have binomial constants that have a product of -4.

In order, the sums of the remaining choices are ...

  A: 1-4 = -3

  C: 4-1 = 3 . . . . this is the correct choice

  D: -2+2 = 0

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