solving polynomial equations - koblbauer's math...
Post on 02-Oct-2020
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Strategies for factoring polynomial equations are similar to those used to factor polynomials. The added step is to state the solution(s).
Example: Solve: 3x3 - x2 + 6x - 2 = 0
Method 1: Apply the Factor Theorem. What are the possible values for x such that f(x) = 0?
Method 2: Factoring by Grouping. (This approach does not always work!)
Example: Solve: x2 + 1 = -8x
This equation cannot be factored by grouping, so apply the factor theorem.
What are the possible values for x such that f(x) = 0?
Ex: An open-topped box can be created by cutting congruent squares from each of the four corners of a 20 cm by 30 cm piece of cardboard and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008 cm3.
Assignment: p.204 #9bd, 13abc
x
x
x
x
x
x
x
x
height =
width =
length =
Solving Polynomial Equations
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