Precalculus
Problem (2.5)
Name: _____________________
Find the zeros. Use the graph provided to help. (Hint: Think about the
graphical behavior at the zero and what that may mean)
f(x) = x5 + 6x4 + 17x3 + 38x2 + 60x + 40
Precalculus
Name: _____________________
Problem (2.5)
Find the zeros. Use the graph provided to help. (Hint: Think about the
graphical behavior at the zero and what that may mean)
f(x) = x5 + 6x4 + 17x3 + 38x2 + 60x + 40
-2 1
6
-2 1
-2
1
1
17
38
60
40
-2 -8
-18 -40
-40
4
9
20
20
0
-2 -4
-10
-20
2
5
10
-2
0
-10
0
5
0
0
x2 + 5 = 0
x2 = -5
x = + -5
x = +- i 5
x = -2, -2, -2, +- i 5
Obj: To find all zeros (including complex zeros) of a polynomial
function and be able to factor it with real coefficients.
Find the zeros of f(x)=x5- 3x4- 5x3+ 5x2- 6x + 8
Obj: To find all zeros (including complex zeros) of a polynomial
function and be able to factor it with real coefficients.
Find the remaining zeros of
f(x) = 4x4 + 17x2 + 14x +65
if 1-2i is one zero.
Find the zeros.
Obj: To find all zeros (including complex zeros) of a polynomial
function and be able to factor it with real coefficients.
f(x) = 3x5 -2x4 + 6x3 - 4x2 - 24x + 16
Write f(x) as a product of linear and irreducible quadratic
factors, each with real coefficients.
Obj: To find all zeros (including complex zeros) of a polynomial
function and be able to factor it with real coefficients.
HW:
HR: (2.5) Pg. 215: 1, 4, 5, 7, 9, 13, 17-21, 23, 37, 39, 35, 39, 53-55