Question 197072: Classify the 15 given polynomials as monomials, binomials, trinomials, and polynomials. Use the format given below for categorizing the polynomials. Remember to simplify BEFORE you classify! –
a. 2x3+3x2 + 2x – 1
b. ax4 – bx2
c. 3a4 – 6a3 + 3a2
d. -4xyz
e. 3ab – 7cd + 5ac
f. 12x – 10x + 3
g. 3q2 – 4r2 + 6s2 – t2
h. –13x
i. 3xy + 4xz – 6yz + 1
j. 4x2 – x + 2x
k. x4 – x2y2 – x2y2 + y4
l. x3 – 3x +1
m. x – 7y2 +9x + 7y2
n. x + y
o. 4c6
Answer by solver91311(24713)   (Show Source):
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Terms are products of variables and coefficients. Terms are separated by + or - signs. Monomials have 1 term, binomials have 2 terms, trinomials have 3 terms, and polynomials have any number of terms. Since polynomials have ANY number of terms, ALL of the listed expressions are polynomials, though many of them have the other specific classification as well. For example, problem h is both a monomial and a polynomial. Remember to collect all like terms, that is all terms that have the same variables raised to the same powers, before you classify. And no, I'm not going to do your entire assignment for you.
John
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