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

Answer:

100x^2+x-4

Step-by-step 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