Question

PLEASE HELP W THESE PROBLEMS

Factor Completely, write prime if prime.
1. 2x²-8
2. 2x² +8x+6
3. 3n² +9n-30
4. 6x²-26x-20
5. 2x² + 12x - 80
6. 5t² + 15t + 10
7. 8n²-18
8. 14x² +7x-21
9. 4x² + 16x + 16
10. 18x + 12x² + 2x³
11. 2x-2xy²
12. 3t³ - 27t
13. 24a²-30a +9
14. 10x² + 15x - 10
15. 3x² - 42x + 147
16. 4x4-4x²

Answer 1

Explanation:

1. 2x² - 8 = 2(x - 2)(x + 2)
2. 2x² + 8x + 6 = 2(x + 1)(x + 3)
3. 3n² + 9n - 30 = 3(n - 2)(n + 5)
4. 6x² - 26x - 20 = 2(3x - 5)(x - 4)
5. 2x² + 12x - 80 = 2(x + 10)(x - 4)
6. 5t² + 15t + 10 = 5(t + 1)(t + 2)
7. 8n² - 18 = 2(2n + 3)(2n - 3)
8. 14x² + 7x - 21 = 7(2x - 3)(x + 1)
9. 4x² + 16x + 16 = 4(x + 2)(x + 2) = 4(x + 2)²
10. 18x + 12x² + 2x³ = 2x(1 + 3x)(2 + x)
11. 2x - 2xy² = 2x(1 - y²)
12. 3t³ - 27t = 3t(t - 3)(t + 3)
13. 24a² - 30a + 9 = (4a - 3)²
14. 10x² + 15x - 10 = 5(2x - 1)(x + 2)
15. 3x² - 42x + 147 = 3(x - 7)(x - 7) = 3(x - 7)²
16. 4x4 - 4x² = 4x²(x + 1)(x - 1)

In the above factorizations, "prime" refers to an expression that cannot be factored any further over the integers.