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"Factorization Method" PPT courseware for quadratic equations of one variable
factoring method
When one side of a quadratic equation is 0 and the other side is easily decomposed into the product of two linear factors, we can solve it by factoring. This method of solving a quadratic equation by factoring you is the factoring method.
Teacher Tips:
1. The conditions for using the decomposition factor method are: the left side of the equation is easy to decompose, and the right side is equal to zero;
2. The key is to master the knowledge of factorization;
3. The theory is still "If the product of two factors is equal to zero, then at least one factor is equal to zero."
The steps to solve a quadratic equation of one variable by factoring are:
1. Let the right side of the equation be 0, and the left side can be factorized;
2. Factor the left-hand side;
3. According to "at least one factor is zero", convert it into two linear equations of one variable.
4. Solve two linear equations of one variable respectively, and their roots are the roots of the original equation.
Learning is a pleasure
Can you solve the following equation using factoring?
1.x2-4=0; 2.(x+1)2-25=0.
Solution: 1.(x+2)(x-2)=0, [(x+1)+5][(x+1)-5]=0,
∴x+2=0, or x-2=0. (X+6)(x-4)=0
∴x1=-2, x2=2. ∴x+6=0, or x-4=0.
∴x+6=0, or x-4=0.
Concluding message
The combination method and the formula method are important methods for solving quadratic equations of one variable and should be mastered as a basic skill. Some equations can be solved easily and quickly using the factorization method.
The quadratic equation is also an effective mathematical model to describe the real world.
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For more information about the "Factorization Method of Quadratic Equations" PPT courseware, please click the Factorization Method of Quadratic Equations ppt ppt tag.
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