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The product of a number of factors can be zero only if one of them is zero.
So, if a given expression is zero, you factorise it and then, by the above rule, the statement is true if any one of the factors is zero. You therefore set each factor equal to zero to find the different possible solutions.
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Why do you set each factor equal to zero when solving a quadratic equation by factoring?
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.
How does the zero product rule help you solve quadratic equations?
Factor it! Set each equal to zero! Solve
Why do you equate the equation to zero?
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
How do you multiply numbers ending in zero?
You add a zero at the end of the factor
Is zero a factor of any number?
No.
