Using the number line, determine which expressions have a value that is greater than –8. Select Yes or No for each expression. l
----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l----l -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
Yes:
-13 +1
-6 -(-6)
-4 -(-7)
-4 - 6
-2 - 11
No:
Yes:
-13 +1
-6 -(-6)
-4 -(-7)
-4 - 6
-2 - 11
No:
2 answers:
<h3>Answer:</h3>
yes
- -6-(-6)
- -4-(-7)
no
- all others
Doing what the directions say is generally a good idea.
Adding a number moves to the right; subtracting a number moves to the left. Subtracting a negative number is the same as adding its opposite.
The arrowhead end of the line in the figure is the end result. Two of them end up to the right of -8, that is, greater than -8.
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The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:
<h3>How to write the polynomial?</h3>
A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:
Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.
Then this polynomial is equal to:
If you want to learn more about polynomials:
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