1. The following work shows the multiplication of two binomials, which follows FOIL. On the ight side, three of the four terms are shown, but the "Firsts" term is missing. What should the missing term be? $$ (g+2)(g+5)=\frac{?}{ ext { Firsts }}+5 g $$ Answer: The missing term is:

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1. The following work shows the multiplication of two binomials, which follows FOIL. On the ight side, three of the four terms are shown, but the "Firsts" term is missing. What should the missing term be? $$ (g+2)(g+5)=\frac{?}{	ext { Firsts }}+5 g $$ Answer: The missing term is:

UpStudy AI · Accepted Answer

To find the missing "Firsts" term in the multiplication of the binomials $$ (g+2)(g+5) $$, we can use the FOIL method, which stands for First, Outside, Inside, Last.

1. **First**: Multiply the first terms of each binomial:
   $$
   g \cdot g = g^2
   $$

2. **Outside**: Multiply the outside terms:
   $$
   g \cdot 5 = 5g
   $$

3. **Inside**: Multiply the inside terms:
   $$
   2 \cdot g = 2g
   $$

4. **Last**: Multiply the last terms:
   $$
   2 \cdot 5 = 10
   $$

Now, we can combine all these results:
$$
g^2 + 5g + 2g + 10 = g^2 + 7g + 10
$$

From the equation given:
$$
(g+2)(g+5) = \frac{?}{\text{ Firsts }} + 5g
$$
we see that the "Firsts" term corresponds to $$ g^2 $$.

Thus, the missing term is:
$$
\boxed{g^2}
$$
The missing term is $$ g^2 $$.

1. The following work shows the multiplication of two binomials, which follows FOIL. On the ight side, three of the four terms are shown, but the "Firsts" term is missing. What should the missing term be? \( (g+2)(g+5)=\frac{?}{\text { Firsts }}+5 g \) Answer: The missing term is:

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