Given the expression −10p2q + 7p3q − 5q, do the following as instructed below:
A: Write the polynomial in descending order.
B: Classify the polynomial by the number of terms.
C: State the degree of the polynomial.
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OpenStudy (james1769):
@TorilovesVampires
OpenStudy (james1769):
@dakid88
OpenStudy (james1769):
any ideas?
OpenStudy (michele_laino):
you have to order your polynomial in descending powers of p
OpenStudy (james1769):
i got that
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OpenStudy (michele_laino):
first term is \(7 p^3 q\)
OpenStudy (james1769):
i need help with 2 and 3
OpenStudy (james1769):
questions 2 and 3
OpenStudy (michele_laino):
for part 2:
ypur polynomial is composed by three monomials
OpenStudy (michele_laino):
your*
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OpenStudy (james1769):
the first set of numbers correct ?
OpenStudy (james1769):
the 7p^3 p
OpenStudy (michele_laino):
we have the subsequent monomials:
\(7p^3q, -10p^2q, -5q\)
OpenStudy (michele_laino):
so, your polynomial is a trinomial
OpenStudy (james1769):
okay so there are 2 trinomials and a bi momial?
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OpenStudy (michele_laino):
no, we have three monomials only,
and those three monomials compose your trinomial
OpenStudy (james1769):
okay
OpenStudy (michele_laino):
for part 3:
degree of your trinomial is given by the degree of the highest degree monomial
OpenStudy (michele_laino):
for example:
degree of \(7p^3q\) is \(3+1=4\)
OpenStudy (james1769):
so 10?
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OpenStudy (michele_laino):
degree of \(-10p^2q\) is \(2+1=3\)
OpenStudy (michele_laino):
finally, degree of \(-5q\) is \(1\)
OpenStudy (michele_laino):
please keep in mind that degree of monomial is the sum of the exponents of its factors
OpenStudy (james1769):
okay thanks
OpenStudy (michele_laino):
so, what is the highest number among:
4, 3, 1?
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OpenStudy (james1769):
4
OpenStudy (michele_laino):
yes! your polynomial is a fourth degree trinomial
OpenStudy (james1769):
thamks and is that a answer? for my question?
OpenStudy (michele_laino):
yes!
OpenStudy (james1769):
thnks
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