Question

solve the polynomial and graph the solution set on a real number line. Express the solution set in interval notation x^2+5x+4>0

Answer 1

(x+4)*(x+1)>0
can you pick up from here?

Answer 2

(X+1)(X+4)>0

X+1>0 AND X+4 >0

Answer 3

x>-4
x>-1
will give you x>-1 (first solution)

Answer 4

x<-1
x<-4
will give x<-4
second interval

Answer 5

so, you have 2 intervals, right?
x<-4 & x>-1

can you put it in interval notation?

Answer 6

how to put it on the number line

Answer 7

(-infinity,-4) & (-1,+infinity)

Answer 8

draw the line:

+++++++(-4)--------(-1)+++++++++

where is +++ solid line (numbers included), put the hole in (-4) & (-1) & resume the solid line from (-1) to the right (+infinity)

Good?