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Topic 6.2 Solving Quadratic Equations by Factoring Homework Name: Date: Solve each equation by factoring. 1. x 2 3 10 2. X 2 + 7 × 12 3. X 2 + 12 x + 36 4. 2 2 6 x + 4 0 5. X 3 6 × 2 + 16 × 6.

How to fill out solving quadratics by factoring

How to fill out solving quadratics by factoring:

1. Begin by identifying the quadratic equation that needs to be solved. It should be in the form of ax^2 + bx + c = 0, where a, b, and c are coefficients.
2. Determine if the quadratic equation is factorable. This can be done by examining the values of a, b, and c. If the discriminant (b^2 - 4ac) is a perfect square or equal to zero, then the equation is factorable.
3. Factor the quadratic equation by finding two numbers that multiply to give ac (the product of coefficient a and c), and add up to give b (the coefficient of x). For example, if the equation is x^2 + 5x + 6 = 0, we need to find two numbers that multiply to give 6 and add up to give 5. In this case, the numbers are 2 and 3. The factored form of the equation would be (x + 2)(x + 3) = 0.
4. Set each factor equal to zero and solve for x. In our example, we would set (x + 2) = 0 and (x + 3) = 0. Solving these equations would give us x = -2 and x = -3.

Who needs solving quadratics by factoring:

1. Students studying algebra or higher-level mathematics will often encounter quadratic equations and need to solve them by factoring.
2. Engineers and scientists may need to solve quadratic equations in various applications, such as in physics or optimization problems.
3. Individuals involved in finance may use quadratic equations to model and solve problems related to investments, business projections, or loan calculations.
4. Architects and designers may use quadratic equations when working with shapes and structures, as quadratic relationships often arise in areas and volumes.

In summary, solving quadratics by factoring is a fundamental skill in mathematics and is useful in various fields of study and professions.

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What is solving quadratics by factoring?

Solving quadratics by factoring is a method used to find the roots of a quadratic equation by factoring it into two linear equations.

Who is required to file solving quadratics by factoring?

Students learning algebra or taking math courses may be required to solve quadratics by factoring.

How to fill out solving quadratics by factoring?

To fill out solving quadratics by factoring, one needs to identify the coefficients of the quadratic equation and then factorize it to find the solutions.

What is the purpose of solving quadratics by factoring?

The purpose of solving quadratics by factoring is to find the roots or solutions of a quadratic equation.

What information must be reported on solving quadratics by factoring?

The solutions or roots of the quadratic equation must be reported when solving quadratics by factoring.