Question

classify each one by degree and number of terms.
(2 points each)

9x2yz
18x2 + 5ab – 6y
8a – 5

Answer 1

x^2 - x <---Degree 2
x^4 + x^3 + x^2 <----Degree 4
x^9 + x^6 <----Degree 9
Also, the degree of a polynomial is the same number of x-values in the equation. A degree 5 polynomial has 5 x-values. A degree 2 polynomial has 2 x-values.

Terms are seperated by + or - signs.

Part 1:
9x^2yz <---Degree 2 with 1 term.
18x^2 + 5ab - 6y <-----Degree 2 with 3 terms
8a - 5 <---Degree 1 with 2 terms
4x^3 + 3x^2 - x -4 <----Degree 3 with 4 terms
x + 2xyz <----Degree 1 with 2 terms
2x^3y + y^2x - 3x + 4 <----Degree 3 with 4 terms
6x^2 <----Degree 2 with one term.

Hopefully that makes sense.

Part 2: Standard form means arranging terms from highest exponent to the lowest. All similar factors are combined.There is no standard form for writing polynomials that have more than one variable, like these ones. Sometimes one variable is picked and the polynomial is written in decreasing powers of that variable

Answer 2

9x2yz:
Number of degree: 1
number of terms : 1

18x2 + 5ab – 6y:
Number of degree: 2
Number of terms : 3

8a – 5:
Number of degree: 1
Number of terms: 2

Answer 3

Assumption: x, y, z, a, b are variables.

9x^2yz --> degree = 2 + 1 + 1 = 4 // Monomial

18x^2 + 5ab – 6y --> degree is 2 // Trinomial

8a – 5 --> degree is 1 // Binomial

Note: the degree of a constant term such as 5 is zero.

Answer 4

How do y6ou find the terms of them? i know how to find the degree's, but the terms confuse be a bit.

Answer 5

1. Degree=2, Terms=1 2. Degree=2, Terms=3 3. Degree=1, Terms=2

Answer 6

They are not written in standard form because the terms are not arranged from highest degree to lowest degree.

Answer 7

@sommersquid