All categories

4 years ago

Find a cubic polynomial given zeros and leading coefficient

1 answer:

3 0

Firstly, we can ignore the leading coefficient of 1, as 1 is always assumed to be the leading coefficient in the absence of another leading coefficient. Next, we now that every imaginary zero has to have a negative counterpart. Therefore, our zeros are 2, 3i, and -3i. Next, we put these zeros into factored form. This gives us f(x) = (x - 2)(x - 3i)(x + 3i). Now, all we have to do is multiply out and combine all like terms. This gives us an answer of f(x) = x^3 - 2x^2 + 9x - 18.

Hope this helps!

You might be interested in

In which number does the digit 9 have a value that is ten times greater than the value of the digit 9 in the number 593,104? 95,

valkas [14]

Answer: (d)

Step-by-step explanation:

Given

The digit 9 in the number 593,104 is at the ten-thousandths place and the value which is 10 times its value must be at lakh place.

Matching with highest place values in the option

(a) Ten-thousand place

(b) Thousand place

(d) lakh Place

Therefore, (d) is the correct option.

5 0

3 years ago

Can someone pls answer this question fast?

velikii [3]

Answer:

the answer is 8/3

Step-by-step explanation:

-2/3 ÷ 1/-4

-2/3 × -4/1

8/3

mark me as brainliest plyyzzz

6 0

3 years ago

Read 2 more answers

Determine the range of the function graphed below.<br> Answer choices are below as well

Softa [21]

Answer:

The range of the function will be (- ∞, 4].

Step-by-step explanation:

See the graph attached.

Here we have to get the range of the graphed function.

The value of y in the graphed function varies in the range of less than or equal to 4.

Because the graph of the function does not move beyond 4 towards +∞.

Therefore, the range of the function will be (- ∞, 4]. (Answer)

5 0

3 years ago

Question 6

babunello [35]

Answer:

$P(X=3)$

And using the probability mass function we got:

$P(X=3)= (12C3)(\frac{1}{6})^3 (1-\frac{1}{6})^{12-3}=0.1974$

Step-by-step explanation:

Let X the random variable of interest "number of times that 6 appears", on this case we now that:

$X \sim Binom(n=12, p=1/6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=3)$

And using the probability mass function we got:

$P(X=3)= (12C3)(\frac{1}{6})^3 (1-\frac{1}{6})^{12-3}=0.1974$

5 0

3 years ago

Caleb has d dollars in his piggy bank. Write an expression for the amount in the piggy bank if Caleb adds 9 dollars.

Vinil7 [7]

Expression is Amount = d + 9

Step-by-step explanation:

Step 1: Write the expression of the amount in the piggy bank.

Amount in the piggy bank = $d

Amount added by Caleb = $9

⇒ Total amount = d + 9

8 0

3 years ago