Question

ANSWER ASAP

1. Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution,
25x3 +__x² - x - 4
Solution: (x + 4)(5x + 1)(5x – 1)

Answer 1

100x^2+x-4

Explanation:

1. x + (4 • (5x + 1) • (5x - 1))
2. x + 4 • (5x + 1) • (5x - 1)
3. Factoring 100x2+x-4
5. The first term is, 100x2 its coefficient is 100 .
6. The middle term is, +x its coefficient is 1 .
7. The last term, "the constant", is -4
9. Step-1 : Multiply the coefficient of the first term by the constant 100 • -4 = -400
11. Step-2 : Find two factors of -400 whose sum equals the coefficient of the middle term, which is 1 .
13. -400 + 1 = -399
14. -200 + 2 = -198
15. -100 + 4 = -96
16. -80 + 5 = -75
17. -50 + 8 = -42
18. -40 + 10 = -30
19. -25 + 16 = -9
20. -20 + 20 = 0
21. -16 + 25 = 9
22. -10 + 40 = 30
23. -8 + 50 = 42
24. -5 + 80 = 75
25. -4 + 100 = 96
26. -2 + 200 = 198
27. -1 + 400 = 399