Chapter 8, Problem 10CR

To determine

To find : Each polynomial based on its degree and number of terms.

Answer to Problem 10CR

The degree of polynomial is 1.

The number of terms is 2.

The name of the polynomial is linear binomial.

Explanation of Solution

Given information:

Consider the polynomial:

  $7x²+8+6x–7x²$

To write this polynomial in standard form, place terms in decreasing order.

The standard form is:

  $\begin{array}{l}7x²+8+6x–7x²=8+6x\\ =6x+8 \end{array}$

Now the polynomial is in standard form and is $6x+8$ .

The degree of a polynomial in one variable is the same as the degree of the monomials with the greatest exponent.

So, the degree of polynomial is 1.

Because 1 is the greatest exponent of given polynomial expression.

The number of terms is 2, degree is 1.

Therefore the name of the polynomial is linear binomial.