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skelet666 [1.2K]
3 years ago
7

What is a cubic polynomial function in standard form with zeros –3, 2, and–3?

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

(x-2)(x+3)(x+3)=0\\

Step-by-step explanation:

Multiply those together and combine like terms.  Then make sure you order the terms in descending powers.

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Find the first term of the following geometric sequence ----,42,126,378,1,134
sergey [27]
Since it is a geometric sequence each term will be a specific multiple of the term preceding it, called the common ratio...

126/42=378/126=1134/378=3

The sequence is a(n)=a(3)^(n-1) and we know the second term is 42 so:

42=a(3)^(2-1)

42=3a

a=14

So the first term is 14.
8 0
3 years ago
The construction cost for this road ha been estimated at $135 per linear foot. (1 mile = 5280 ft).
Mamont248 [21]
T. Pitagora twice => new street = 2\sqrt{20} = 8.94 miles;
135*8.94 = 1206.9$;
8 0
3 years ago
I need help please...
Olegator [25]

Answer:

13000 milliliters

Step-by-step explanation:

1 liter = 1000 milliliters

13 liters = 13000 milliliters

7 0
3 years ago
Read 2 more answers
Need help not sure about my answers
shusha [124]

Answer:

  x = 0, x = 1

Step-by-step explanation:

Both graphs correctly plot f(x).

Only the bottom graph correctly plots g(x).

The points of intersection of f(x) and g(x) are (0, -4) and (1, -2). The x-value of these points are x = 0 and x = 1. These are the values of x for which f(x) = g(x).

3 0
3 years ago
Finding a polynomial of a given degree with given zeros
galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

x=4

Subtract 4 from both sides

\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}

The first factor is (x - 4)

\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

f(x)=(x-4)(x-1+i)(x-1-i)

We will multiply them to find f(x)

\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}

Multiply it by (x - 4)

\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}

The answer is

f(x)=x^3-6x^2+10x-8

5 0
1 year ago
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