Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Polynomial functions |
Grade: 1400-a Lesson: S2-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Determine the polynomial function degree, leading coefficient \$f(x) = -3x^5 + 2x^4 - 5x^3 + x^2 + 4x - 2\$. |
|
2 |
Step |
The degree of a polynomial is determined by the highest power of x in the function. In this case, the highest power is 5, so the degree of the polynomial function is |
5 |
3 |
Step |
The leading coefficient is the coefficient of the term with the highest power of x.In this case, the leading coefficient is |
-3 |
4 |
Step |
Therefore, the degree and leading coefficient of a polynomial function are 5, - 3. |
|
5 |
Choice.A |
The polynomial’s degree is 5 with a leading coefficient of -3, not 2, making this option incorrect |
2 , - 3 |
6 |
Choice.B |
This option correctly identifies the polynomial’s degree as 5 with a leading coefficient of -3 |
5 , -3 |
7 |
Choice.C |
The leading coefficient is -3, not 4, rendering this option incorrect |
5 , 4 |
8 |
Choice.D |
This option wrongly indicates a degree of 7 and a leading coefficient of 0, which does not match the polynomial |
7 , 0 |
9 |
Answer |
Option |
B |
10 |
Sumup |
Can you briefly tell me what you’ve learned and understood in today’s lesson? |
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