6 – 4 Factoring and Solving Polynomial Equations Day 2 Objective: Use factoring to solve polynomial equations.

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Volume: Prisms and Cylinders Lesson 10-7 p.538. Volume The volume of a three-dimensional figure is the amount that fills the figure. The volume is given.

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6 – 4 Factoring and Solving Polynomial Equations Day 2 Objective: Use factoring to solve polynomial equations.

Example 5 Solve

Example 5 An optical company is going to make a glass prism that has a volume of 15 cm 3. The height of the prism is h cm, and the base will be a right triangle with legs of length (h – 2) and (h – 3) cm. What will be the height of the prism?

Solution If a prism has a volume of V cubic units, a base with an area of B square units, and a height of h units, then V = Bh Base of a triangular prism is B = ½ leg 1 x leg 2

Since distance cannot be an imaginary number the height must be h = 5 cm.

Homework page –60 even, 75 – 85 odd