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# I need help. Thanks.

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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\$.)

Nov 17, 2020

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1)  The terms are already in decreasing order   Nov 17, 2020
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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
edited by MathzSolver111  Nov 17, 2020
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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   Nov 17, 2020
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Chris, can you ask the admins or if you could find why everything I'm posting is auto flagged?

Nov 17, 2020
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Thanks! I think the glitch is patched! Thanks Chris!

MathzSolver111  Nov 17, 2020
#7
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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   CPhill  Nov 17, 2020
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Ok, man!!!   CPhill  Nov 17, 2020
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Slight mistake  in (3)

It should be

2x - y - 4 ≥  0

Sorry, MS!!!   Nov 17, 2020
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All good! Thanks! Signing off for today! Have a good afternoon! Hope to see you around!

MathzSolver111  Nov 17, 2020