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Factoring Cubes and Factoring by Grouping
Student Learning Goal: Students will be able to factor perfect cubes and be able to factor by grouping. Homework: Worksheet
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Review of Factoring Special Cases: (x + 5) (x -5) = (2x β 7) (2x + 7) = ( π₯+4) 2 = 6π₯ β1 2 = Special Cases Formula: π+π π βπ = π 2 - π 2 π+π 2 = π 2 + 2ab + π 2 βSquare Double Squareβ πβπ 2 = π 2 - 2ab + π 2 βSquare Double Squareβ
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Factoring Cubes: π 3 + π 3 =( π+π)( π 2 β2ππ+ π 2 ) (S. M. O. S
Factoring Cubes: π 3 + π 3 =( π+π)( π 2 β2ππ+ π 2 ) (S.M.O.S. = βSquare-multiply-opposite-squareβ ) π 3 β π 3 =(π βπ)( π 2 +2ππ+ π 2 ) Example 1: Multiply π₯ 3 +8 = π₯ 3 β64= 8π₯ =
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Factoring by Grouping: π₯ 3 + 5π₯ 2 β4π₯ β20 π₯ 3 β 2π₯ 2 β9π₯+18
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Factor Each Polynomial Completely
π 3 +27 3π¦ 3 + π¦ 2 +9π¦+3 16π 4 β625 6π₯ 5 β 750π§ 2
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