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
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-2x^3 -8x^2 + 50x
-2x^3 + 0 + 50x
=================
-8x^2 + 0 +200
-8x^2 + 0 + 200
==================
0
The percentage of 195/100 is 195%
Hello from MrBillDoesMath!
Answer:
The second choice, [1,2]
Discussion:
The key to this question is that we are looking for "local maximum". In the graph a local maximum, think "camel hump", occurs in the interval [1,2] -- but the global maximums, if there is one, appears to occur in x > 3 and x < -1
Thank you,
MrB
She needs to work 89 hours to have 1600
The answer would be it has one solution
