Question

i have test tomorrow i will love you to help me with thisClassify the following as a monomial, binomial, trinomial, or polynomial andstate the degree.a) 7^5b) 5^7 + 7^2c) 7^3 + 11^2 − 13 + 112d) + 2 + 3^2e) 11^3 − 7^3

Answer 1

a) degree 5; monomial

b) degree 7; polynomial

c) degree 3; polynomial

d) degree 2; polynomial

e) degree 3 polynomial

Explanation.

A polynomial is a mathematical expression containing coefficients and variables.

An example of a polynomial is 42x^5 + 23 x^3 - 2x.

A monomial is a polynomial that contains only one term. For example, x^4, 34x^5, 2x, etc.

Having that in mind, we go through the expressions and place them in one of either category.

a) 7^5

This contains only one term, meaning it is monomial; its highest exponent is 5, meaning it is of degree 5.

b) 5^7 + 7^2

This contains two terms, meaning it is a polynomial; its highest exponent is 7, meaning its degree is 7.

c) 7^3 + 11^2 − 13 + 112

This expression contains four terms - it is a polynomial; its highest exponent is 3, meaning its degree is 3.

d) + 2 + 3^2

This contains three terms, meaning it is a polynomial; its highest exponent is 2, meaning its degree is 2.

e) 11^3 − 7^3

This contains 2 terms, meaning it is a polynomial; its highest exponent is 3, meaning it is of degree 2.