U3 Homework 3: Writing Polynomials
Name:
1.
Write a quantic polynomial in intercept form with x-intercepts at −9, −4, 𝑎𝑛𝑑 3. The graph passes through at 3 and bounces
at −9 𝑎𝑛𝑑 − 4, and goes through the point (1, −125).
2.
Write a quintic polynomial in intercept form with zeroes that bounce at −2 and curves at −8, and includes the point
(−3, −5).
3.
Write a polynomial in intercept form with a root at 4 with an end behavior of:
4.
Use the graph below to write the polynomial in intercept form.
5.
Use the graph below to write the polynomial in intercept form
6.
Write a quadratic polynomial in standard form with one zero at 7, and the function goes through the point (5, 12).
𝒙 → −∞
𝒙 → +∞
𝒚 → +∞
𝒚 → +∞
7.
Write a cubic polynomial in standard form with x-intercepts at −4 𝑎𝑛𝑑 2. The graph passes through 2 and bounces at −4,
and goes through (−2, −8).
8.
Write a cubic polynomial in standard form with one roots at −5, and the function includes the point (−1, 16).
Bonus!
1. Write a polynomial in intercept form with zeroes at −6 𝑎𝑛𝑑 − 8 with an end behavior of:
𝒙 → −∞
𝒙 → +∞
2. Write 3 different quartic polynomials in intercept form that has x-intercepts at −2 𝑎𝑛𝑑 4 and includes the point
(3, −5).
𝒚 → +∞
𝒚 → −∞