solving polynomial equations - koblbauer's math...

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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: 3x 3 - x 2 + 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: x 2 + 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 cm 3 . Assignment: p.204 #9bd, 13abc x x x x x x x x height = width = length = Solving Polynomial Equations

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Page 1: Solving Polynomial Equations - Koblbauer's Math Sitekoblbauermath.weebly.com/.../1/9/13192946/solving_polynomial_equati… · Strategies for factoring polynomial equations are similar

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