# Factoring Problem Solving

Put another way, the only way for us to get zero when we multiply two (or more) factors together is for one of the factors to have been zero.So, if we multiply two (or more) factors and get a zero result, then we know that at least one of the factors was itself equal to zero.We now include all the solutions we found in a single solution to the original problem: Equation Calculator - Solve By Factoring Solves an entered equation by factoring, showing step-by-step work.

We are left with three factors: 5x, (x 3), and (x - 3). " section, at least one of the three factors must be equal to zero.

Create three subproblems by setting each factor equal to zero.

This lesson covers many ways to solve quadratics, such as taking square roots, completing the square, and using the Quadratic Formula. (Before reaching the topic of solving quadratic equations, you should already know how to factor quadratic expressions.

But what about equations where the variable carries an exponent, like x Solving the first subproblem, x - 2 = 0, gives x = 2. You should observe that as long as a does not equal 0, b must be equal to zero.

• ###### Solve by Factoring Lessons Wyzant Resources

The most fundamental tools for solving equations are addition, subtraction, multiplication, and. Practice solving by factoring with 20 problems and solutions.…

• ###### Art of Problem Solving Factoring Quadratics Part 1 - YouTube

May 4, 2012. Art of Problem Solving's Richard Rusczyk explains how to factor quadratics of the form x^2 + bx + c.…

• ###### Factoring Trinomials - Practice Problems

Factoring Trinomials – Practice Problems Move your mouse over the "Answer" to reveal the answer or click on the "Complete Solution" link to reveal all of the.…

• ###### Factoring Calculator - MathPapa

Shows you step-by-step how to factor expressions! This calculator will solve your problems.…

• ###### Algebra - Factoring Polynomials Practice Problems

Apr 23, 2018. Here is a set of practice problems to accompany the Factoring Polynomials section of the Preliminaries chapter of the notes for Paul Dawkins.…

• ###### Solving Polynomials by Factoring

Step 2 Use a factoring strategies to factor the problem. Step 4 Solve each factor that was set equal to zero by getting the x on one side and the answer on the.…

Sal solves the equation s^2-2s-35=0 by factoring the expression on the left as s+5s-7 and finding. Quadratic equations word problem triangle dimensions.…