Factoring by Grouping Worksheets
Factoring by grouping can be defined as grouping terms with common factors before factorization of polynomials. Let us take an example.
Factorize x2 + 4x + 3
The expression x2 + 4x + 3 has three terms right now, so we need to write it with 4 terms before we can group terms.
4x = 3x + x, so x2 + 4x + 3 becomes x2 + (3x + x) + 3.
Group x2 with 3x and x with 3 and then factor each group.
We get (x2 + 3x) + (x + 3) = x*(x + 3) + 1*(x + 3) = (x + 1) * (x + 3)
Benefits of Factoring by Grouping Worksheets
Factoring is an important process that helps us understand more about mathematical equations. Factoring by grouping worksheets helps us in various ways like through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations.
Factor by Grouping is useful when there is no common factor among the terms, and you split the expression into two pairs and factor each of them separately.
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Factoring by Grouping Worksheet - 1
Factoring by Grouping Worksheet - 2
Factoring by Grouping Worksheet - 3
Factoring by Grouping Worksheet - 4