Factor x^4 - 2x^3 - 33x^2 + 50x + 200 completely using the given factor x^2 - 25.

You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and

x = - 5  are both zeros of the given quartic.

5        1      -2       -33       50         200

                 5         15       -90         -200          

          1       3        -18       -40         0

What you have now is x^3 + 3x^2 - 18x - 40 = 0

Do another synthetic division

-5        1       3       -18       -40

                   -5       10        40

           1      -2        -8        0

The result is

x^2 - 2x - 8 = 0 which factors.

(x + 2)(x - 4) = 0

Answer

The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0

Long division

x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8

                      x^4 + 0  +    25x^2

                               -2x^3 -8x^2  +  50x

                                -2x^3 + 0  +     50x

                                            -8x^2 + 0 +200

                                            -8x^2 + 0 + 200

                                                       0

it's 100

step-by-step explanation:

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

  n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the  14th  row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100

read more on -

the answer on ed. is:

c. "the graph of f(x) has exactly two x-intercepts."

hope i could someone! : )