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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!

 Nov 17, 2020
 #1
avatar+114094 
+2

1)  The terms are already in decreasing order

 

cool cool cool

 Nov 17, 2020
 #2
avatar+73 
+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 surprise But I noticed this 2.5 hours ago.

MathzSolver111  Nov 17, 2020
edited by MathzSolver111  Nov 17, 2020
 #3
avatar+114094 
+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

 

cool cool cool

 Nov 17, 2020
 #5
avatar+73 
0

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

 Nov 17, 2020
 #6
avatar+73 
0

Thanks! I think the glitch is patched! Thanks Chris!

MathzSolver111  Nov 17, 2020
 #7
avatar+114094 
+1

OK.....I'll see what I can do.....

 

3) We have the points (2,0)  and (3,2)...and a sloid line

 

This is easier

 

slope  [  2-0] / [ 3 -2] =  2/1  = 2

 

The equation is 

 

 y = 2 ( x -2)

 

y = 2x - 4

 

Rearrange  as

 

2x - y - 4   = 0

 

 

cool cool cool

CPhill  Nov 17, 2020
 #8
avatar+114094 
0

Ok, man!!!

 

cool cool cool

CPhill  Nov 17, 2020
 #9
avatar+114094 
+1

Slight mistake  in (3)

 

It should be

 

2x - y - 4 ≥  0 

 

Sorry, MS!!!

 

cool cool cool

 Nov 17, 2020
 #10
avatar+73 
+1

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

MathzSolver111  Nov 17, 2020

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