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Warm-up: Factor Completely
5x2 – 20 6x2 – 12x – 378 2x2 – 12x 3x2 – 21x + 30
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Homework Check
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Factoring Trinomials when a is not equal to 1 ax2 + bx + c = 0
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How to Factor a Trinomial
Check for GCF 1st. Divide out the GCF of each term if one exists. When factoring ax2 + bx + c, first find factors of a and c. Check the products of the inner and outer terms to see if the sum is b.
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1. x2 + 9x + 14 +1 +2 +14 +7 1x ( )( ) x x
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2. 2x2 – 5x + 3 1x 2x -1 -3 ( – )( – ) x x
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3. 5x2 + 11x + 2 1x 5x +1 +2 ( )( ) x x
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4. 3x2 – 10x + 3 1x 3x -1 -3 ( – )( – ) x x
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5. 2x2 – 7x + 5 1x 2x -1 -5 ( – )( – ) x x
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6. 6x2 – 11x + 3 1x 2x 6x 3x -1 -3 ( – )( – ) 2x x
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7. 4x2 + 16x + 15 +1 +3 +5 +15 1x 2x 4x ( )( ) 2x x
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8. 3x2 – 20x – 7 1x 3x 1 7 ( )( ) x x –
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9. 2x2 + 3x – 5 1x 2x 1 5 ( )( ) x x –
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10. 5m2 + 14m – 3 1m 5m 1 3 ( )( ) m m –
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11. 2x2 – 11x – 21 1x 2x 1 3 7 21 ( )( ) x x –
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Sometimes you can factor out a GCF 1st!
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12. 14x2 – 32x + 18 2(7x2 – 16x + 9) 2( – )( – ) x 7x 1 9 1x 7x -1 -3
-9 2( – )( – ) x x
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Class Work Factoring WS
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