Question

bra 1b credit 2
credit checkpoint and practice pt
polynomial operations
assessment credit checkpoint
□ complete the following problems. show all your work.
learning goal from lesson 17.1
i can interpret parts of an expression, such as terms, factors, and coefficients.
how
i got it!
classify each polynomial below by its number of terms and its degree. select al each polynomial. (1 point each)

1. $m^{5}n^{2}+mn^{2}+n^{6}$

□ the degree of the polynomial is 5
□ the degree of the polynomial is 6
□ the degree of the polynomial is 7
□ the polynomial is a monomial
□ the polynomial is a binomial
□ the polynomial is a trinomial

1. $2a^{3}b + 9a^{2}bc^{2}$

□ the degree of the polynomial is 4
□ the degree of the polynomial is 5
□ the degree of the polynomial is 6
□ the polynomial is a monomial
□ the polynomial is a binomial
□ the polynomial is a trinomial

Explanation:

Step1: Count terms for Problem1

Count individual terms separated by +: $m^5n^2$, $mn^2$, $n^6$ → 3 terms.

Step2: Find degree for Problem1

Calculate degree of each term:

• $m^5n^2$: $5+2=7$
• $mn^2$: $1+2=3$
• $n^6$: $6$

Highest degree = 7.

Step3: Count terms for Problem2

Count individual terms separated by +: $2a^3b$, $9a^2bc^2$ → 2 terms.

Step4: Find degree for Problem2

Calculate degree of each term:

• $2a^3b$: $3+1=4$
• $9a^2bc^2$: $2+1+2=5$

Highest degree = 5.

Answer:

1. The degree of the polynomial is 7

The polynomial is a trinomial

1. The degree of the polynomial is 5

The polynomial is a binomial