All categories

3 years ago

What is the complete factorization of the polynomial below

Mathematics

2 answers:

zepelin [54]3 years ago

7 0

Answer:

B. (x+4)(x+i)(x-i)

Step-by-step explanation:

Let $P(x)=x^3-4x^2+x-4$

We can factor this polynomial by grouping:

$P(x)=x^2(x-4)+1(x-4)$

We factor further to obtain:

$P(x)=(x^2+1)(x-4)$

$P(x)=(x^2-\sqrt{-1}^2)(x-4)$

We apply difference of two squares to get:

$P(x)=(x-i)(x+i)(x-4)$

Dovator [93]3 years ago

6 0

Answer:

(x+1)(x-1)(x+4)

Step-by-step explanation:

You might be interested in

30 points!

slamgirl [31]

Answer:

Hello, Your answer is 1.02$

Step-by-step explanation:

First of all, let's calculate the total amount payed by Veena for her meal: t =9.25$ + 4.35$ =13.6$ The tax was 7.5%, which corresponds to a fraction of 7.5% =7.5/100 therefore, the amount of tax payed by Veena for her meal is tax = 7.5/100 . t = 7.5/100 (13.6$) =1.02$<em> Hope This Helps!</em>

8 0

3 years ago

Read 2 more answers

What is the answer to 3/4 / 1/8?

Nataly [62]

Answer:

Step-by-step explanation:

$\frac{3}{4} \div \frac{1}{8} \\ = \frac{3}{4} \times 8 \\ = 3 \times 2 \\ = 6$

4 0

3 years ago

Read 2 more answers

Choose the correct simplification of the expression ( 4x/y)^2.

erik [133]

$\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2} \end{gathered}$}$

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

$\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} } \end{gathered}$}$

Expand (4x)².

$\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} } \end{gathered}$}$

Calculates 4 to the power of 2 and gets 16.

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} } \end{gathered}$} }$

6 0

2 years ago

a shop sell 200 chocolate ; vanilla and strawberry ice cream 45% of the ice cream sold are vanilla and 35% are strawberry. how m

Oksanka [162]

The number of chocolate ice creams sold is 50.

<h3>How many chocolate ice creams are sold?</h3>

There exist three kinds of flavors.

45% of the ice creams exist as vanilla

30% of the ice creams exist as strawberry

x percent of the ice creams exist chocolate

The total amount of ice cream exists 200 which equals 100%.

Therefore,

45% + 30% + x = 100%

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Solving for x, then the value of x is,

x = 25%

Then the number of chocolate ice creams are:

25%(200) = 50.

The number of chocolate ice creams sold is 50.

To learn more about the value of x refer to:

brainly.com/question/9965443

#SPJ2

6 0

2 years ago

Point P is shown on the number line below. The distance between point Q and point P is 6 1/2 units. Which number could represent

Bad White [126]

B is the right answer

6 0

3 years ago

Read 2 more answers