Solving quadratic equations by factoring
This Grade 6 algebra skill from Yoshiwara Elementary Algebra teaches students to solve quadratic equations by factoring. Students rewrite the equation in standard form, factor the quadratic expression, apply the zero-factor principle, and solve each resulting linear equation to find the roots.
Key Concepts
Property To Solve a Quadratic Equation by Factoring:.
1. Write the equation with zero isolated on the right side.
2. Factor the left side of the equation.
Common Questions
How do you solve a quadratic equation by factoring?
Rewrite the equation as ax^2 + bx + c = 0, factor the left side, set each factor equal to zero, and solve each linear equation.
What is the zero-factor principle?
If the product of two factors equals zero, then at least one factor must be zero. This allows you to split a factored equation into two simpler equations.
When can you solve a quadratic by factoring?
You can factor when the quadratic can be written as a product of two binomials with integer coefficients. Not all quadratics factor over integers.
What is an example of solving a quadratic by factoring?
x^2 + 5x + 6 = 0 factors as (x + 2)(x + 3) = 0. So x + 2 = 0 gives x = -2, and x + 3 = 0 gives x = -3.
Where is solving quadratics by factoring taught?
Solving quadratic equations by factoring is covered in the Yoshiwara Elementary Algebra textbook for Grade 6.