Question

juanita begins to factor an expression as shown.
$x^2 + 3x - 18 = (x + \square)(x - \square)$
what numbers should be placed in the boxes from left
to right?
\\(\bigcirc\\) 3 and 6
\\(\bigcirc\\) 2 and 9
\\(\bigcirc\\) 6 and 3
\\(\bigcirc\\) 9 and 2

Explanation:

Step1: Identify target product and sum

We need two numbers that multiply to $-18$ (constant term) and add to $3$ (coefficient of $x$).

Step2: Find the pair of numbers

Test factor pairs of $18$: $6$ and $-3$ multiply to $-18$, and $6 + (-3) = 3$.

Step3: Match to factored form

The factored form is $(x+6)(x-3)$, so the left box is $6$, right box is $3$.

Answer:

C. 6 and 3