Finding solutions for higher degree polynomial functions:
ie. y = 4x^3 + 3x^2 + x + 2
Slide 2
Rational Roots Test
To find the possible solutions to the function, find all possible fractions where the numerator is a factor of the constant, and the denominator a factor of the leading coefficient:
factors of constant
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factors of leading coefficient
Slide 3
Rational Roots Test
4x^3 + 3x^2 + x + 2
Factors of constant: 2, 1
Factors of leading coefficient: 4,2,1
All possible combinations of fraction: 2/4, 2/2, 2/1, 1/4, 1/2, 1/1
So the possible factors of the function (given they can be positive or negative) are:
+/- 0.25, +/- 0.5, +/- 1, +/- 2
Slide 4
These possible factors can then be tested to find which result in a solution of y=0
*Can find using synthetic division or by substituting the values into the equation.
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