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6) An expression is given.
X2+zx-12
The expression can be written as (x+q) (x+r) where q, r, and z are integers.
What are possible integer values or q, r, and z?

Sagot :

MrRoyalidn

Expressions are mathematical statements without the equation sign

The possible integer values of q, r, and z are 3, -4 and -1

How to determine the values of the integers

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

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