SOLUTION: I am supposed to complete this table using polynomials. I don't know how to and need help. -6x^4+6x^3 - 6x^2 + 5x - 7 The table is divided in 4 sections: Term, Coefficient, Degre

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Question 462083: I am supposed to complete this table using polynomials. I don't know how to and need help.
-6x^4+6x^3 - 6x^2 + 5x - 7
The table is divided in 4 sections: Term, Coefficient, Degree of Term, Degree of Polynomial
Found 3 solutions by Edwin McCravy, solver91311, MathLover1:
Answer by Edwin McCravy(20064)   (Show Source):
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The term consists of a signed number, and x and an exponent, or just a signed number with no x. A coefficient is the signed number in front The degree of the term is the power of x in the term The degree of the polynomial is largest of the degrees of the terms If there is no x in the term, just a number, the term is of degree 0 TERM COEFFICIENT DEGREE OF TERM -6x^4 -6 4 +6x^3 6 3 -6x^2 -6 2 +5x 5 1 -7 -7 0 The largest degree of a term is 4, so the degree of the whole polynomial is also 4. Edwin

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

Your polynomial has 5 terms, so you need 5 rows in your table:

First row: Term Coefficient Degree of term Degree of polynomial

Second row: Term Coefficient Degree of term Degree of polynomial

Notice that the degree of the polynomial did not change. That is because the degree of the polynomial is the degree of the highest degree term in the polynomial.

I'll let you continue on your own, but here are a couple of tips: and , so you can actually re-write your original polynomial like this:

Which might give you a clue as to what to put in the last two rows of your table.

Lastly, the sign preceeding a term is always part of the coefficient on that term. If the lead coefficient is positive, a plus sign is understood.

One final note that has little to do with this problem but will be helpful soon:

The degree of a term is the SUM of the exponents on variables in the term. For example:

is degree 6 ( 4 + 2 )

is degree 5

John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20850)   (Show Source):
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Term ---------- Coefficient ------- Degree of term
-6x^4 ------------- -6 ------------------- 4
6x^3 -------------- 6 -------------------- 3
-6x^2 -------------- -6 ------------------- 2
5x ----------------- 5 --------------------- 1
-7------------------ -7 --------------------- 0