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Factor by GroupingHow To Factor by Groupin To factor a polynomial you must reduce the polynomial equation to its factors.
Degree of Polynomial | Add Polynomials |Subtract Polynomials | Factor A Polynomial |Factor by grouping| Multiply a Polynomial| sum of cubes | difference of cubes
3x² +8x + 4
Product of (a)(c) = (3)(4) = 12 What factors of 12 sum to 8?
Think of 8x as 2x + 6x 3x² + 2x + 6x + 4 Group the 2 pairs : (3x² + 2x) + (6x + 4) Remove the common factors:: x(3x + 2) + 2(3x + 2) Rewrite as grouped factors: (x + 2)(3x + 1)
3x² + 7x + 4
Product of (a)(c) = (3)(4) = 12 What factors of 12 sum to 7?
Think of 7x as 3x + 4x 3x² + 3x + 4x + 4 Group the 2 pairs : (3x² + 3x) + (4x + 4) Remove the common factors: 3x(x + 1) + 4(x + 1) Rewrite as grouped factors: (3x + 4)(x + 1)
5x² + 18x + 9
What factors of 45 sum to 18? 3 & 15 Think of 18x as 3x + 15x 5x² + 3x + 15x + 9 Group the 2 pairs : (5x² + 3x) + (15x + 9) Remove the common factors: x(5x + 3) + 3(5x + 3) Rewrite as grouped factors: (x + 3)(5x + 3) Top
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