SOLUTION: could you tell me if I'm correct on this homework problem: It states for each of the following polynomials determine a)the degree of each term,b)the degree of the polynomials,c)th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: could you tell me if I'm correct on this homework problem: It states for each of the following polynomials determine a)the degree of each term,b)the degree of the polynomials,c)th      Log On


   

Question 107461: could you tell me if I'm correct on this homework problem:
It states for each of the following polynomials determine a)the degree of each term,b)the degree of the polynomials,c)the leading term,and d)the leading coefficient.
The problem is:5a^2-4+2a^3 The other one is:4x-7x^4+2-3x^3
a)2,0,3 a)1,4,0,3 b)4 c)7x^4 d)7
b)3
c)2a^3
d)2
Found 3 solutions by Fombitz, stanbon, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Almost.
4x%2Bhighlight%28-7x%5E4%29%2B2-3x%5E3
c)-7x%5E4
d)-7

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
for each of the following polynomials determine a)the degree of each term,b)the degree of the polynomials,c)the leading term,and d)the leading coefficient.
The problem is:5a^2-4+2a^3 The other one is:4x-7x^4+2-3x^3
a)2,0,3 a)1,4,0,3 b)4 c)7x^4 d)7
b)3
c)2a^3
d)2
--------
Part c and d of the second problem are wrong.
c should be -7x^4
d should be -7
----------------------
All the rest are correct.
==============
Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
5a%5E2+-+4+%2B+2a%5E3+
answer
a)the degree of each term is 3,2
since we have a “missing” term ( -4 has no x) it means we have -4%28x%5E0%29 because x%5E0=1. We do not have to write 0.
b)the degree of the polynomials: since the degree of the polynomial is the highest degree of all the terms, it looks like the degree is 3.
Since there are three terms, this is a trinomial.
c)the leading term is 2a%5E3

The other one is:
4x-7x%5E4%2B2-3x%5E3
answer:
a)the degree of each term is: 4,3,1
since we have a “missing” term ( 2 has no x) it means we have 2%28x%5E0%29 because x%5E0=1. We do not have to write 0.

b)the degree of the polynomials: since the degree of the polynomial is the highest degree of all the terms, it looks like the degree is 4. Since there are four terms, this is a quadranomial.
c)the leading term is -7x%5E4
d)the leading coefficient is -7