Expressions are mathematical statements without the equation sign
The possible integer values of q, r, and z are 3, -4 and -1
The expressions are given as:
x^2 + zx - 12
(x + q)(x + r)
Both expressions are equal.
So, we have:
[tex]x^2 + zx - 12 = (x + q)(x + r)[/tex]
Expand
[tex]x^2 + zx - 12 = x^2 + (q + r)x + rq[/tex]
By comparison, we have:
[tex]q + r = z[/tex]
[tex]rq = -12[/tex]
Assume that q = 3.
So, we have:
[tex]3r = -12[/tex]
Divide by 3
[tex]r = -4[/tex]
Recall that:
[tex]q + r = z[/tex]
So, we have:
[tex]z = 3 -4[/tex]
[tex]z = -1[/tex]
Hence, the possible integer values of q, r, and z are 3, -4 and -1
Read more about expressions at:
https://brainly.com/question/4344214
