Explain whether or not the plant labeled p(x)=x2+x+3 has any rational or irrational roots.

frational roots are those numbers that can be written in form where a and b are integers (integers are like -5,-4,-3,-2,-1,0,1,2,3,4, etc)

some examples are 1=1/1, 2=2/2, -4=-4/1, 4/3, 0.111111111111=1/9, etc

irrational numbers are numbers that can't be written that way like pi

numbers that involve √-1 or a square root of any negative number are called complex numbers and are neither rational nor irrational.

roots are the values of x that makes the function equal to 0

set equal to 0

I can't factor so use quadratic formula

for

so

√-11 is a square root of a negative number so it is a complex number. therefore, the function does not have rational or irrational roots

p(x) has no rational or irrational roots

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.