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sweet [91]
3 years ago
8

The function f(x) is a quartic function and the zeros of f(x) are -3,-1,4, and 6. Assume the leading coefficient of f(x) is 1. W

rite the equation of the quartic polynomial in standard form.
Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

f(x) = x⁴-6x³-13x²+66x+72

Step-by-step explanation:

Factors are: (x+3)(x+1)(x-4)(x-6)

[(x+3)(x+1)][(x-4)(x-6)]

[x²+3x+x+3][x²-4x-6x+24]

(x²+4x+3)(x²-10x+24)

x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72

f(x) = x⁴-6x³-13x²+66x+72

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6 0
2 years ago
is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 7 comedies, 4 mysteries, and 5 h
pogonyaev

Answer: 91

Step-by-step explanation:

Given : The number of documentaries = 5

The number of comedies = 7

The number of mysteries = 4

The number of horror films =5

The total number of movies other than comedy = 14

Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

^7C_7\times^{14}C_2\\\\\dfrac{7!}{7!(7-7)!}\times\dfrac{14!}{2!(14-2)!}\\\\=(1)\times\dfrac{14\times13}{2}\\\\=91

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .

5 0
3 years ago
Passes through (4,-5), slope = 3/4
Alchen [17]
Equation = y = mx + b
y = 3/4x + b

Calculation for b.,
-5 = 3/4 * 4 + b
b = -5/3

So, your final answer is y = 3/4x - 5/3

Hope this helps!
3 0
3 years ago
What is the same value as 32 tens
elixir [45]

320 has the same value as 32 tens.

5 0
2 years ago
Read 2 more answers
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