Algebra II: Solve quadratic equations by factoring
This is a free lesson from our course in Algebra II
In this section you will learn the process of factoring as a method to solve quadratic equations. Quadratic equations are the equations that contain a power of two as the highest power in the equation.
Factoring a quadratic equation means breaking the quadratic back into its binomial parts. Simply saying the factoring of
x2 + ( a + b )x + ab will result into ( x + a) ( x + b ).For example, the two factors of x2 + 12x + 35 are ( x + 5 )( x + 7 ). Many of the simpler quadratic equations with rational roots can be solved by factoring. (More text below video...)
<h2> Solve quadratic equations by factoring - Watch video (Algebra II)</h2> <p> equation, factor, math help, algebra II, example, binomial, algebra help, roots of equation, quadratic equation, solving, trinomial, online math, perfect square trinomial, practice questions, quizzes</p> <p> Factoring a quadratic equation means breaking the quadratic back into its binomial parts.</p>
Other useful lessons:
Identify perfect square trinomials
Graphing quadratic equations
(Continued from above) Using the fact that a product is zero if any of its factors is zero you follow these steps :
bring all terms to the left and simplify, leaving zero on the right side.
factorize the quadratic expression.
set each factor equal to zero.
solve the resulting linear equations.
check the solutions in the original equation.
For example, find the solution of the quadratic equation -x2 = 12x + 35.
-x2 - 12x 35=0.
-(x2+ 12x + 35)=0
(x2+ 12x + 35)=0
x+7=0 & x+5=0
so, x = -7 and x = -5.
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