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Factoring Quadratic
1. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. x^2 + 3x + 2 = 0
2. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. x^2 + x - 6 = 0
3. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. -2x^2 + 4x + 30 = 0
4. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 3x^2 -15x + 18 = 0
5. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 3x^2 + 4x - 4 = 0
6. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 2x^2 -3x - 9 = 0
7. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 5x^2 - 6x - 10 = -2
8. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 3x^2 - 14x + 18 = 3
9. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. x^2 + 3x + 13 = 3 - 4x
10. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. -2x^2 + 12x + 15 = -3x^2 + 4x
11. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 8x^2 - 18x -5 = 3x^2 + 5x + 5
12. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 8x^2 + 5 = 5x^2 + 14x - 3
13. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. (x - 2)^2 - 1 = 8
14. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 3(x^2 + 1) - x = 2x + 9
15. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 2(x^2 + 6) + 5x = -9x - 8
16. Solve the quadratic equation below by factoring. Quadratic Equations: Solve By Factoring Method. 2(x^2 - 2) + x = 4x - 5

1 Answer

3 votes
I will give you the answer to number 1.
(x+2) . (x+1)

How to solve:

Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3 .

-2 + -1 = -3 -1 + -2 = -3 1 + 2 = 3 That's it


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2
x2 + 1x + 2x + 2

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+1)
Add up the last 2 terms, pulling out common factors :
2 • (x+1)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x+1)

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