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# Download I. Factoring an Expression

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Unit 4: Expressions and Equations Write expressions in equivalent forms to solve problems. A.SSE.3: Algebra – Seeing Structure in Expressions Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a) Factor a quadratic expression to reveal the zeros of the function it defines. Ability to connect the factors, zeros, and xintercepts of a graph Ability to use the ZeroProduct Property to solve quadratic equations Ability to recognize that quadratics that are perfect squares produce graphs which are tangent to the xaxis at the vertex Find the numbers represented by the symbols that satisfy the given conditions: * = -3 + = -2 Rules: Green side is positive, yellow side is negative. The big square is x2, the stick is x, the little square is 1. A pair of the same shape but different colors will cancel each other out. Each team will receive a pack with these materials. I will write an expression on the board and I want you to form a rectangle using all the pieces representing the expression. You can only add sticks, and they should be in pairs. Q: What property should this pair of sticks have and why? What expression does this rectangle represent? x2 + 2x – 15 Find the numbers represented by the symbols that satisfy the given conditions: * = -3 + = -2 Factor: 1) x2 – 2x – 3 Factor: 2) x2 – 6x + 9 Zero Factor Law: If a*b = 0, then either a = 0 or b = 0. Solve: (x + 3)(x – 5) = 0 Solve: 1) x2 – 2x – 3 = 0 Solve: 2) x2 – 6x = –9 1) y = x2 – 2x – 3 y y = x2 – 2x – 3 x 2) f(x) = x2 – 6x + 9 y f(x) = x2 – 6x + 9 Fill in the blanks: 1) The solutions to a quadratic equation are the ___________ of the corresponding quadratic function. 2) The lowest (or highest) point in a parabola is called a _________. Teach Me How To Factor Quad Solve!!!