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Factoring Quadratics

Factoring Quadratics 1.6 - Solution

arrow_back Return to Factoring Quadratics
A student wrongly factored a trinomial. To find the error, let's multiply the factors on the right-hand side to find the correct quadratic expression.
We can see that the constant term above is while the constant term in the given expression is

Let's factor the expression by ourselves. Since the leading coefficient is we need to find two numbers whose sum is and whose product is Even though and add to these are not the correct numbers as their product is not Let's look at all the factors of to see which ones have a sum of


Since the sum of and is and their product is these are the numbers we are looking for. With this information, we can correctly factor the given expression.