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Law Incorporation [45]
3 years ago
10

Write a recursive formula for 15,21,27,33,...

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

Step-by-step explanation:

d=21-15=6

recursive formula is

a_{n}=a_{n-1}+6

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In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
The critical points of a rational inequality are -1,3, and 4. Which set of points can be tested to find a complete solution to t
vredina [299]

Answer:

x = –3, x = 1, x = 3.5, and x = 5

Step-by-step explanation:

d on edg

3 0
3 years ago
I don’t really understand how to do this!!! Help plz
patriot [66]

Answer:

4

Step-by-step explanation:

It works with the second one

4 0
3 years ago
Help me of i die so pls help me
nekit [7.7K]

Answer:

10

100

1000

Step-by-step explanation:

I had a quiz on that the other day got 100%

7 0
2 years ago
Find the product: (x² - x + 1)(2x² + 3x + 2).
Tresset [83]

Answer:

(2x^3-2x^2-12x) is the required product.

Step-by-step explanation:

The given equation is:

2x(x-3)(x+2)

Solving the above given equation, we get

=(2x^2-6x)(x+2)

which can be written as:

=(2x^3-6x^2+4x^2-12x)

Solving the like terms, we get

=(2x^3-2x^2-12x)

which is the required product of the given expression.

3 0
3 years ago
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