Section 4.3: Determining Binomial Factors & Finding Roots
4-3: Determining Binomial Factors & Finding Roots
# of factors/root = highest power
Multiplicity of Root - number of times that root
occurs (only use if a root occurs more than once)
Example: x2 + 2x + 1
• Use your graphing calculator to find the rational roots.
• Divide them out (synthetic division)
• Use the remaining polynomial to find the other roots
*Factor, Quadratic Formula or Complete the Square
*Remember you can only use the quadratic formula or
complete the square for a quadratic equation (x2 )
Factor & Find the Roots.
1.) x3 - 2x2 - 13x - 10 = 0
Pre­Calculus
March 05, 2015
Section 4.3: Determining Binomial Factors & Finding Roots
2.) x 3 - 2x2 - 33x + 10 = 0
3.) x6 + 4x4 - x2 - 4 = 0
Pre­Calculus
March 05, 2015
Section 4.3: Determining Binomial Factors & Finding Roots
4.) x5 - 5x4 - 3x3 +15x2 - 4x + 20 = 0
Pre­Calculus
March 05, 2015