Question

A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section. In a section with x sprinklers, there are 3x(x+3) Red bell pepper plants and (x+4) Yellow bell pepper plants. Which simplified expression represents the total number of red and yellow pepper plants in a section with x sprinklers ? Write the expression in standard form

Answer 1

 $3x^2+10x+4$ represents the total number of red and yellow pepper plants in a section with x sprinklers .

Step-by-step explanation:

Here we have , A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section. In a section with x sprinklers, there are 3x(x+3) Red bell pepper plants and (x+4) Yellow bell pepper plants. We need to find Which simplified expression represents the total number of red and yellow pepper plants in a section with x sprinklers . Let's find out:

In a section with x sprinklers,

• there are 3x(x+3) Red bell pepper plants and

Let's Simplify

⇒ $3x(x+3)$

⇒ $3x^2+9x$

• (x+4) Yellow bell pepper plants .

Let's Simplify

⇒ $x+4$

Total Plants = Red + Yellow

⇒ $3x^2+9x+(x+4)$

⇒ $3x^2+10x+4$

Therefore ,  $3x^2+10x+4$ represents the total number of red and yellow pepper plants in a section with x sprinklers .