Factoring ax^2 + bx + c PDF
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Uploaded by InventiveTropicalIsland
Southpoint School
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Summary
This document covers factoring quadratic expressions of the form ax^2 + bx + c, with examples and explanations. It includes cases where 'ac' is positive and 'b' is either positive or negative. The document also provides an example problem about a rectangular game reserve, including how to set up and solve the equation using factoring.
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Ex: Factor 5x² + 15x + 10 Factoring ax² + bx + c, when ac is POSITIVE and b is POSITIVE Ex: Factor 4x² + 13x + 3 a = 4 and c = 3 Multiply to find the product that is equal to the original polynomial. Factoring ax² + bx + c, when ac is POSITIVE and b is NEGATIVE Ex: Factor...
Ex: Factor 5x² + 15x + 10 Factoring ax² + bx + c, when ac is POSITIVE and b is POSITIVE Ex: Factor 4x² + 13x + 3 a = 4 and c = 3 Multiply to find the product that is equal to the original polynomial. Factoring ax² + bx + c, when ac is POSITIVE and b is NEGATIVE Ex: Factor 3x² - 7x + 2 a = 3 and c = 2 Since b is NEGATIVE and c is POSITIVE, BOTH factors of c must be NEGATIVE. Multiply to find the product that is equal to the original polynomial. Ex: The length of a rectangular game reserve is 1 mile longer than twice the width. The area of the reserve is 55 square miles. How wide is the reserve? Write an equation that represents the area of the reserve. Then solve by factoring. Let w represent the width. Then 2w + 1 represents the length. The negative solution does not make sense. Therefore, the width of the reserve is 5 miles.
