Chapter 7.1, Problem 14E

To determine

To calculate:find the degree and coefficient of polynomial and write in standard form.

Answer to Problem 14E

The Standard form is $4w^{11}-w^{12}$

The degree of polynomial is $12$

Coefficient of $4w^{11}$$=4$

Coefficient of $w^{12}$$=-1$

Thus, thepolynomial is binomial.

Explanation of Solution

Given information:A polynomial with terms $4w^{11}-w^{12}$

Calculation:The standard form is $4w^{11}-w^{12}$

The largest exponent is the degree of polynomialis $12$ .

Therefore,the degree is $12$ .

Coefficient is the constant quantity placed before and multiplying the variable.

Coefficient of $4w^{11}$$=4$

Coefficient of $w^{12}$$=-1$

This polynomial contains $2$ terms.

Therefore,the polynomial is binomial.