Question

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomil. 3z−2 2x3+x−12 9b 9x−2

Answer 1

Given that:

The expressions are $3z−2, 2x^3+x-12, 9b, 9x-2$.

Solution:

Monomial : It contains single terms.

Binomial : It contains two terms.

Trinomial :  It contains three terms.

Polynomial : It contains atleast one algebraic term.

Degree of polynomial : It is highest power of the variable.

$3z-2$ ,  here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.

$2x^3+x-12$ ,  here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.

$9b$ ,  here b is a constant. So, it is not a polynomial and it is a monomial.

$9x-2$ ,   here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.