Untitled Quiz

Questions and Answers

5, 0.5

-2.5, 3, 4

0, 0.5, 1, -1

0, 1 Signup and view all the answers

-1, 0, 5 Signup and view all the answers

3, -0.333, -1 Signup and view all the answers

2.5, -2 Signup and view all the answers

3 Signup and view all the answers

-2, 0, 2 Signup and view all the answers

2, -3 Signup and view all the answers

-4, 4 Signup and view all the answers

-0.333, 0.667 Signup and view all the answers

Study Notes

Zeros of a polynomial function are the x-values where f(x) = 0. These points reflect the roots or intersections with the x-axis.

f(x) = 2x² - 11x + 5
- Zeros are approximately 5 and 0.5.
f(x) = 2x³ - 9x² - 11x + 60
- Zeros include -2.5, 3, and 4.
f(x) = 2x⁴ - x³ - 2x² + x
- Zeros are 0, 0.5, 1, and -1.
f(x) = x³ - 2x² + x
- Zeros are 0 and 1.
f(x) = x³ - 4x² - 5x
- Zeros found at -1, 0, and 5.
f(x) = 3x³ - 5x² - 11x - 3
- Zeros include 3, -0.333, and -1.
f(x) = 4x⁴ - 4x³ - 39x² + 20x + 100
- Zeros are approximately 2.5 and -2.
f(x) = x² - 6x + 9
- A double root at 3.
f(x) = x³ - 4x
- Zeros located at -2, 0, and 2.
f(x) = x³ + 4x² - 3x - 18
- Roots are 2 and -3.
f(x) = 3x⁴ - 24x³ + 384x - 768
- Zeros found at -4 and 4.
f(x) = 9x² - 3x - 2
- Zeros are approximately -0.333 and 0.667.

Finding zeros involves setting the polynomial equal to zero and solving for x.
Zeros can be real or complex and may occur multiple times (multiplicity).
The values of zeros can be found using algebraic methods such as factoring, synthetic division, or the quadratic formula, depending on the polynomial degree.