Q18. - Algebra 2

Question

State the degree and leading coefficient of polynomial $a^2+2ab+b^2$ in one variable. If it is not a polynomial in one variable, explain why.

Step-by-Step Solution

Answer

The polynomial is not a polynomial in $1$ variable., because it contains two variables $a\text{ and }b$.

Step 1. Write down the given information.

The given polynomial is $a^2+2ab+b^2$.

Step 2. Calculation.

The given polynomial is $a^2+2ab+b^2$.

The polynomial $a^2+2ab+b^2$ is not a polynomial in one variable, because it contains two variables $a\text{ and }b$.

Step 3. Conclusion.

The polynomial $a^2+2ab+b^2$ is not a polynomial in one variable, because it contains two variables $a\text{ and }b$.