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Polynomials

Problems

Classification of Polynomials

Addition and Subtraction of Polynomials

Problem : Give the degree of the following monomials:
a) 34x 6
b) 3x 2 y 3
c) -4xy 2
d) xyz 3

a) 6
b) 5
c) 3
d) 5

Problem : Classify the following polynomial according to number of terms and degree:
15x 3 +4x 7 -2x 3 y - 12x 4 y 4 + xyz

5 terms, degree 8 .

Problem : Classify the following polynomial according to number of terms and degree:
-3x 3 y 3 z + 5xy - 16z 6

3 terms (trinomial), degree 7 .

Problem : Arrange the following polynomial in ascending order:
6xy 4 -23y 6 +9xyz + 2x 2 y 2 z 3 - xy

- xy + 9xyz + 6xy 4 -23y 6 +2x 2 y 2 z 3

Problem : Arrange the following polynomial in descending order and give the leading coefficient:
64x 7 +3xy 4 -2x 6 y 2 +53 - z + xy 2

-2x 6 y 2 +64x 7 +3xy 4 + xy 2 - z + 53 The leading coefficient is -2 .

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