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)2 yellow bell pepper plants.

Which simplified expression represents the total number of red and yellow bell pepper plants in a section with x sprinklers?

3x2 + 17x + 16

4x2 + 17x + 16

3x4 + 17x2 + 16

4x4 + 17x2 + 16

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)2 yellow bell pepper plants.

Which simplified expression represents the total number of red and yellow bell pepper plants in a section with x sprinklers?

 3x2 + 17x + 16

 4x2 + 17x + 16

 3x4 + 17x2 + 16

 4x4 + 17x2 + 16

ganpat · Answer

It says, The number of plants in each section depends on the number of sprinklers in that section.

3x(x + 3) + (x + 4)2  = x

can u simplify further ???

anonymous · Answer

x=-2?

ganpat · Answer

3x2 + 6x +2x + 8 = x
3x2 +7x + 8 =0

it is supposed to be 1st option.. but m not sure where does 16 comes from.. My calculations calculates 8..

campbell_st · Answer

its a case of expanding both expressions

the number of red and yellow bell peppers is

$$3x(x + 3) + (x + 4)^2$$

which expands to 

$$3x^2 + 9x + x^2 + 8x + 16$$

collect like terms for the answer

ganpat · Answer

ohkey, its squared, not multiplied by 2...