Thoughts Into Words
Consider the following approach to factoring :
Is this a correct factoring process? Do you have a suggestion for a person using this approach?
The approach for factoring of a trinomial is a correct factoring process and provide the suggestion for a person using the given approach.
To factor the trinomials in the form of , we follow the steps given below:
Step-1: Multiply the coefficients of and the constant term.
That is .
Step-2: Find the integers whose sum is equal to and whose product is .
Step-3: List out the pairs of factors for preferably using a table.
Step-4: Rewrite the original problem by splitting the appropriate terms.
Step-5: Now, use the factoring by grouping method to factor the rewritten problem and simplify to get the solution.
Given trinomial: .
The final solution for factoring the given trinomial is correct. But this approach is not correct.
To factor the given trinomial , the following procedure must be used.
Rewriting the given trinomial
We need to complete the following with two integers whose sum is and whose product is .
The following table shows the possible pairs of factors of :
|Factors||Product of the factors||Sum of the factors|
From the above table, we find that the numbers that we need are and and we can complete the factoring
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