(z^6/z)^2 QUICK ILL GIVE BRANLIEST

5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?

Mkey [24]

Answer:

B $x^4-x^3+x^2-x+1$

Step-by-step explanation:

Given,

Dividend = $(x^5+1)$

Divisor = $(x+1)$

Step 1: First The dividend is $(x^5+1)$ and Divisor is $(x+1)$ when divided first time the quotient will be $x^4$ and remainder will be $-x^4+1$

Step: 2 Now the new dividend is $-x^4+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3$ and remainder will be $x^3+1$

Step: 3 Now the new dividend is $x^3+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2$ and remainder will be $-x^2+1$

Step: 4 Now the new dividend is $-x^2+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x$ and remainder will be $x+1$

Step: 5 Now the new dividend is $x+1$ and Divisor is $(x+1)$ when divided the quotient will be $x^4-x^3+x^2-x+1$ and remainder will be 0.

Hence When the polynomial $(x^5+1)$ is divided by $(x+1)$ the answer or quotient will be equal to $x^4-x^3+x^2-x+1$ and remainder will be 0.

5 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

Question 5 :)) What is the measure of the missing angle?

Stella [2.4K]

The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line

6 0

3 years ago

4 divide by8/9 - 1/2

Sever21 [200]

I think 4 divided by 8/9 - 1/2 = 4

6 0

3 years ago

!!!!SORRY I DIDNT MEAN TO SET IT TO COLLEGE, THIS IS 6th/7th grade!!!!!

Mnenie [13.5K]

Answer:

C) Jo's drink will have a stronger orange taste

Step-by-step explanation:

tropical punch calls for 2 liters of pineapple juice and 3 liters of orange juice.

total is 2+3 = 5 liters

pineapple = 2/5

orange = 3/5

Jo creates a drink by mixing 3 liters of pineapple juice with 4

total = 7

pineapple = 3/7

orange = 4/7

Get a common denominator to compare

5 and 7 = 35

tropical punch

pineapple = 2/5 *7/7 = 14/35

orange = 3/5*7/7 = 21/35

Jo

pineapple = 3/7*5/5 = 15/35

orange = 4/7*5/5 = 28/35

Jo will have both a stronger pineapple and orange taste than the tropical drink and the orange will be stronger than the pineapple in her drink

5 0

3 years ago