Mathematical Investigations III
Name:
Mathematical Investigations III - A View of the World
Writing Equations - Part 2
Write the equation of the polynomial function for each set of given conditions. If the situation is
impossible, state this.
1.
linear, containing (2, –5), with 4 as a zero
2.
linear, with –10 as a zero, and 8 as the y-intercept
3.
quadratic, containing P(5, 10), with –3 and 9 as zeroes
4.
quadratic, containing P(–4, 3), with 6 as its only zero
5.
quadratic, containing P(–7, 10), with 4i and –4i as its zeroes
6.
cubic, with zeroes –7, 2, and 9, with y-intercept 12
7.
cubic, zeroes at 2, 3i, and –3i, containing (–1, –15)
8.
quartic, a bounce point at 2, other zeroes at -3 and 0, containing (1, –16)
Poly 9.1
Rev. S06
Mathematical Investigations III
Name:
9.
Write cubic equations for the following: Be sure to account for the given point:
Given point at (2, 28)
10.
Given y-intercept 60
Write the quintic equations for the following.
Given point at (4, 128)
11.
Given point at (1, 216)
For the second graph in the problem (10), what other equations are possible, if we do not
restrict the polynomial to be quintic? (List two variations.)
Poly 9.2
Rev. S06