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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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Reason What does the graph of a function tell<br> you about the multiplicity of a zero?
Y_Kistochka [10]

Answer:

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity. The sum of the multiplicities is n.

4 0
3 years ago
Evaluate the determinant
Luba_88 [7]
D. negative 67 because laplace’s expansion
6 0
2 years ago
Simplify -12.5 - (-4.8)
Elan Coil [88]

Answer: -17.5

Step-by-step explanation:Use this rule:

1. -a-b=-(a+b)−a−b=−(a+b).

-(12.5+4.8)−(12.5+4.8)

2.Use the algorithm method.

1  

1 2 . 5

+  4 . 8

1 7 . 3

3.After simplification, we have:

-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3

4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.

-17.3−17.3

4 0
3 years ago
Write an absolute value equation to satisfy the given solution set shown on a number line.
balandron [24]

The absolute value equation with the wanted solutions is:

|x| - 1/2 = 0

<h3>How to find the absolute value equation?</h3>

Here we want to find an absolute value equation such that the solutions are:

x = -1/2 and x = 1/2.

Remember that the absolute value equation always changes the sign, such that the outcome is positive.

This means that:

|1/2| = 1/2

|-1/2| = 1/2

Then a trivial equation with these two solutions is:

|x| - 1/2 = 0

Where the two solutions are x = 1/2 and x = -1/2.

If you want to learn more about absolute value equations:

brainly.com/question/5012769

#SPJ1

6 0
2 years ago
Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to
Savatey [412]

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625

Average change of population with time for town B = \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595

Average change of population with time for town C = \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800

Average change of population with time for town D = \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700

Town C had the greatest average change in population over time (800/yr).

8 0
3 years ago
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