1. Express $x^{3}+6x^{2}+11x+6$ as a polynomial whose terms are arranged in decreasing order degree.

2. Find a linear inequality with the following solution set. Each grid line represents one unit. This is the grid : https://latex.artofproblemsolving.com/a/2/9/a29ab229485ebb0bd55ba84d9b69637ee1b61804.png. (Give your answer in the form $ax+by+c=0$ or $ax+by+c\geq 0$ where $a,b,$ and $c$ are integers with no common factor greater than $1$.)

3. Find a linear inequality with the following solution set. Each grid line represents one unit. This is the grid : https://latex.artofproblemsolving.com/8/d/9/8d9bd0400837caad6ee0e3c73ac50b6260d13361.png. Give your answer in the form $ax+by+c=0$ or $ax+by+c\geq 0$ where $a,b,$ and $c$ are integers with no common factor greater than $1$.)

Thanks!! Please help me soon BTW thanks!

MathzSolver111 Nov 17, 2020

#1

#2**+1 **

The question was actually something like $(x+1)(x+2)(x+3)$. I solved that and didn't notice it was already in decreasing degree But I noticed this 2.5 hours ago.

MathzSolver111
Nov 17, 2020

#3**+2 **

2) We have two points on this inequality (-1,0) and (0,1)

Slope [ 1 -0 ] / [ 0 - -1] = 1/1 = 1

If we had a solid line the equation would be

y= x + 1

But we have a dotted line

So

The equation is either

y < x + 1 or y > x + 1

To see which one is correct, pick a point in the shaded area and test it in the equations ..I'll pick (0,2)

2 < 0 + 1

Not true

So the equation is

y > x + 1

Rearrange as

x - y + 1 < 0

See the graph here : https://www.desmos.com/calculator/arefq6sleo

CPhill Nov 17, 2020

#5**0 **

Chris, can you ask the admins or if you could find why everything I'm posting is auto flagged?

MathzSolver111 Nov 17, 2020

#9

#10**+1 **

All good! Thanks! Signing off for today! Have a good afternoon! Hope to see you around!

MathzSolver111
Nov 17, 2020