F(x) = x³ + 3x² - 10x - 24
The root factors must be the factors of 24.
1 x 24 ; 2 x 12 ; 3 x 8 ; 4 x 6.
The most probable roots would be -4, -3, -2, -1, 1, 2, 3, or 4.
Using synthetic division, one can find that the smallest root is -3.
(x - 3)(x² - 6x - 8). The quadratic can now be factored as (x + 2)(x - 4) and further factored as (x - 3)(x + 2)(x - 4).
The correct factors are: (x - 3) (x + 2) (x - 4)
Answer:
Step-by-step explanation:
Answer:
300 programs
Step-by-step explanation:
Let’s work with cents to make this easier. We convert the $12 to cents, making 1200 cents
Let the number of copies Alden printed be x. His total printing cost would be x * 54 = 54x cents.
He sold at 75 cents each and still had left 100 copies. This means his total sale would be (x - 100)75
He lost $12 on the venture. This means his cost price minus his selling price is $12 since it’s a loss.
Computing this:
54x - 75(x - 100) = 1200
54x - 75x + 7500 = 1200
-21x = 1200 - 7500
-21x = -6,300
x = 6300/21 = 300 programs
The reason for statement 4 is CPCTC.