Question

6) An expression is given.

Answer 1

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:

$x^2 + zx - 12 = (x + q)(x + r)$

Expand

$x^2 + zx - 12 = x^2 + (q + r)x + rq$

By comparison, we have:

$q + r = z$

$rq = -12$

Assume that q = 3.

So, we have:

$3r = -12$

Divide by 3

$r = -4$

Recall that:

$q + r = z$

So, we have:

$z = 3 -4$

$z = -1$

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

Read more about expressions at:

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