Chapter 8, Problem 8SGR

To determine

To state whether the statement is true or false

Answer to Problem 8SGR

False

Explanation of Solution

Given:

Statement: The leading coefficient of $1+6a+9a^2$ is 1.

Concept used:

Leading coefficient is the coefficient of the term with the highest degree

Calculation:

Consider the given expression,

  $\Rightarrow 1+6a+9a^2$

The term with the highest degree is $9a^2.$

Therefore, the coefficient of this term is 9.

The statement is true when the leading coefficient is 9.

Conclusion:

Therefore, the leading coefficient of $1+6a+9a^2$ is not 1.