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Quadratics

Discover the methods to solve quadratic equations in the form ( ax^2 + bx + c = 0 ). Learn how to factor quadratic expressions and apply various techniques such as graphing, the quadratic formula, and the square root principle. We will start with an example equation ( x^2 + 7x + 12 = 0 ), factor it, and find the roots. This comprehensive guide will help you master solving quadratics and gain confidence in your math skills.

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Quadratics

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    1. Quadratics 3102.3.30 Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle.

    2. What is a Quadratic?? The standard form for any quadratic equation is ax2 + bx + c = 0 There are many ways to solve quadratic equations. Below are the ways that we will solve them. Factoring Graphing Quadratic Formula Square root principle

    3. First, FACTORING!! We will first factor a quadratic expression and solve for the unknown in the equation. We will begin to factor quadratic expressions with a = 1.

    4. First problem! x2 + 7x + 12 = 0 ( x ) ( x ) =0 Now set each set of parentheses equal to zero. x + 3 = 0 x + 4 = 0 x = -3 x = -4 Put your answers in set notation { -3 , -4}

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