Question

bailey writes the expression $g^2 + 14g + 40$ to represent the area of a planned school garden in square feet. what factors can be used to find the dimensions of her garden?
○ $(g-4)(g-10)$
○ $(g+4)(g+10)$
○ $(g+4)(g-10)$
○ $(g-4)(g+10)$

Explanation:

Step1: Identify $a,b,c$ for trinomial

For $g^2+14g+40$, $a=1$, $b=14$, $c=40$

Step2: Find pair with sum $b$, product $ac$

Find two numbers: $4+10=14$, $4\times10=40$

Step3: Factor the trinomial

$g^2+14g+40=(g+4)(g+10)$

Answer:

$\boldsymbol{(g+4)(g+10)}$ (Option 3)