Short Answer
The degree of the expression (5x¬¨‚â• + 2x¬¨‚â§ + 7x – 3) is 3 due to the highest power being 3. To convert it into a quadratic function (degree of 2), Martha can either eliminate the (5x¬¨‚â•) term or change its exponent to 2 to combine it with (2x¬¨‚â§).
Identify the Degree of the Expression
To solve the problem, first analyze the given expression: 5x¬¨‚â• + 2x¬¨‚â§ + 7x – 3. The degree of an expression is determined by its highest power. In this case, the highest power is 3, making the degree of the expression equal to 3.
Understanding Quadratic Functions
A quadratic function is specifically defined as a function with a degree of 2. To convert the given expression into a quadratic form, it is important to remove or reduce the term with the highest degree. Here are two methods to achieve this:
- Eliminate the term with the third degree, 5x³.
- Change the degree of the term 5x³ to 2 and combine it with 2x².
Conclude the Correct Options
Based on the methods discussed, we can conclude the correct actions to achieve a quadratic expression. The two appropriate actions for Martha in this context are:
- The first term, 5x³, can be eliminated.
- The exponent on the first term, 5x³, can be changed to 2, allowing it to combine with 2x².