Janu16
  • Janu16
Given the expression 5a^2b – 13ab + 7a^3 – 4b, do the following as instructed below:
Mathematics
schrodinger
  • schrodinger
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Janu16
  • Janu16
A.Write the polynomial in descending order. B.Classify the polynomial by the number of terms. C.State the degree of the polynomial.@phi
Janu16
  • Janu16
Janu16
  • Janu16
so would it be this for A 7a^3=5a^2b-13ab-4b?

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Janu16
  • Janu16
anonymous
  • anonymous
yes assuming the = was a typo
phi
  • phi
yes , = means +
Janu16
  • Janu16
ys its +
Janu16
  • Janu16
so do you guys think thats correct descending order
phi
  • phi
yes. In theory we could order it according to the "b"s , but the a's have a higher power
Janu16
  • Janu16
ok so its correct. So for B I said the term is polynomial
Janu16
  • Janu16
is that correct
phi
  • phi
yes, but they also want the number of terms (things between the + or -)
Janu16
  • Janu16
4?
phi
  • phi
yes, it is a 4 term polynomial
Janu16
  • Janu16
so they don't want the name but they want number?
Janu16
  • Janu16
I need help with degree part c
phi
  • phi
they want "4 term polynomial" the degree is the biggest exponent. easy to find, because we order the terms from biggest exponent to smallest
Janu16
  • Janu16
but doesnt 2 of them have 3 as degree?
Janu16
  • Janu16
5a^2b is 3 right? and 7a^3 is also 3
phi
  • phi
yes, we should count a^2 b as degree 3 but what we care about is the term with the biggest exponent. (in this case 3) it does not matter if there are more than one term with that degree.
Janu16
  • Janu16
so 7a^3 is the degree?
phi
  • phi
no. just 3 if we did not have 7a^3, the degree would still be 3 (because of the 5a^2b) and if we did not have either of those, the degree would be 2 (from -13ab)
Janu16
  • Janu16
so i just write 3 where it says state the degree of the polynomial
phi
  • phi
yes
Janu16
  • Janu16
ok thanks again!

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