Advanced Algebra
Solving Polynomial Equations
Name ___________________________
Warm Up
If z represents any even number and y represents any odd number, which of the following numbers is even?
a. y (y+2)
b. (z+1)(y-1)
c. z+y
d. z-1
e. y+2
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Solving Polynomial Equations: Solving a polynomial means finding where the polynomial is equal to zero.
1.
2.f(x) = x2 + 8x – 9
3.
4.
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------When a polynomial is factored, each portion is known as a factor.
The solutions to the polynomial above are -2 and -3. These values are known as roots, solutions, and zeros.
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------5. Find the zeros:
6. Find the roots:
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Look back at the problems we have solved so far, and determine the relationship between the number of solutions
and the degree of the polynomial.
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Solve the following polynomials
7. f(x) = 9x3 - 17x2 + 8x
8. x3 - 5x2 - 2x + 10 = 0
9. x3 + 3x2 - 10x = 0
10. x4 + 2x2 - 15 = 0
11. x3 - 9x = 0
12. x4 - 36 = 0