Find the factor of the following quadratic equations.
Example:
(x+1)(x+1) 1. x2+2x+1
Solution: x2+2x+1=(x+1)(x+1)
(x+2)(x+1) 2. x2+3x+2
Solution: x+3x+2=(x+2)(x+1)
1. x2+3x+2
2. x2+x-6
3. x2+8x+7
4. x2-3x+2
5. x2-x-6
6. x2+3x+10
7. x2+2x-15
8. x2 +5x+6
9. x2+9x+18
10. x2+9x+12
Example:
(x+1)(x+1) 1. x2+2x+1
Solution: x2+2x+1=(x+1)(x+1)
(x+2)(x+1) 2. x2+3x+2
Solution: x+3x+2=(x+2)(x+1)
1. x2+3x+2
2. x2+x-6
3. x2+8x+7
4. x2-3x+2
5. x2-x-6
6. x2+3x+10
7. x2+2x-15
8. x2 +5x+6
9. x2+9x+18
10. x2+9x+12
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Answers & Comments
Answer:
1. x2+3x+2
(x+1)(x+2)= x2+1x+2x+2
combine like terms
2. x2+x-6
(x-2)(x+3) = x2-2x+3x-6
combine like terms
3. x2+8x+7
(x+1)(x+7) = x2+1x+7x+7
combine like terms
4. x2-3x+2
(x-2)(x-1)=x2-2x-1x+2
combine like terms
5. x2-x-6
(x-3)(x+2) = x2-3x-2x-6
combine like terms
6. x2+3x+10
this is not factorable
7. x2+2x-15
(x-3)(x+5) = x2-3x+5x-15
combine like terms
8. x2 +5x+6
(x+2)(x+3) = x2+2x+3x+6
combine like terms
9. x2+9x+18
(x+3)(x+6) = x2+3x+6x+18
combine like terms
10. x2+9x+12
not factorable