Question

Match the polynomial with its degree and number of terms.(5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. −4x2+11 x5 +3x2+12x−11 x4+8x3−2x2+8x −5 6x3 x12−3x+5 Skip to navigation

Answer 1

To match the polynomials with their degree and number of terms, let's analyze each polynomial given:

1. -4x² + 11

   • Degree: 2 (the highest power of x is 2)
   • Number of terms: 2 (terms are -4x² and 11)

2. x⁵ + 3x² + 12x - 11

   • Degree: 5 (the highest power of x is 5)
   • Number of terms: 4 (terms are x⁵, 3x², 12x, and -11)

3. x⁴ + 8x³ - 2x² + 8x

   • Degree: 4 (the highest power of x is 4)
   • Number of terms: 4 (terms are x⁴, 8x³, -2x², and 8x)

4. -5

   • Degree: 0 (a constant has a degree of 0)
   • Number of terms: 1 (only one term, which is -5)

5. 6x³

   • Degree: 3 (the highest power of x is 3)
   • Number of terms: 1 (only one term, which is 6x³)

6. x¹² - 3x + 5

   • Degree: 12 (the highest power of x is 12)
   • Number of terms: 3 (terms are x¹², -3x, and 5)

Now, let's summarize this information:

• -4x² + 11: Degree 2, 2 terms
• x⁵ + 3x² + 12x - 11: Degree 5, 4 terms
• x⁴ + 8x³ - 2x² + 8x: Degree 4, 4 terms
• -5: Degree 0, 1 term
• 6x³: Degree 3, 1 term
• x¹² - 3x + 5: Degree 12, 3 terms

Now you can use this information to input the correct responses for degree and number of terms as needed. If you have options, match accordingly as explained above!