Question

Determine two values of C that allow each expression to be factored
*Please explain step by step*

(X^2+6x+C)

Answer 1

The answer vary but let use 9 and 8.

Step-by-step explanation:

First, let write this equation down.

${x}^{2} + 6x + c$

In order to factor this expression, we must think of two numbers that can add to 6, but Also multiply to C. This number vary but let use two potential scenarios

Let use 3 and 3 since 3+3=6 to find C let multiply 3 and 3.

3x3=9.

So one value of C could be 9.

This expression factor equal

$(x + 3) {}^{2}$

Let use another one.

Since 2 and 4 add to 6. Let multiply 2 and 4 to find C.

$2 \times 4 = 8$

So c=8

Thus expression factor equal

$(x + 2)(x + 4)$