Find the zeros of each function. Part 3. Please show work.

1. f(x)= x^4 - x^3 - x^2 - x - 2
2. f(x)= x^3 - 8x^2 + 19x - 12

9514 1404 393

Answer:

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

  f(x) = (x +1)(x -2)(x -i)(x +i)

The roots are -1, 2, -i, +i.

__

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

  (x -3)(x -4) . . . zeros of 3 and 4

__

I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.

9514 1404 393

Answer:

real: -1, 2; complex: +i, -i

1, 3, 4

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

 f(x) = (x +1)(x -2)(x -i)(x +i)

The roots are -1, 2, -i, +i.

__

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

 (x -3)(x -4) . . . zeros of 3 and 4

__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).

I really need help ... I need a tutor or someone who’s willing to help me bc I’m struggling in math

A parallelogram is a rectangle if and only
if its diagonals are congruent.

In order to make a necklace, Alicia purchased a bag of 80 beads for a total of $39. Some of the beads were sterling silver and cost $.40 each, and the rest were gemstone beads that cost $.65 each. How many of each type of bead were in the bag? Please show your work!

In the figure shown, line AB is parallel to line CD. What is the
measure of angle x? Explain your answer.
А
P
B
62°
115°
с
о
R
0 (10 points)
HTML Editor

The following system of equations is given below:


\large -5x+y=-18


\large -10x-5y=20


Which of the following steps is not suitable to solve this system by elimination?


a. Multiply the first equation by 2 and then subtract the equations from each other.

b. Multiply the first equation by -5 and then add the equations together.

Selected:c. Multiply the first equation by 5 and then add the equations together.This answer is incorrect.

d. Multiply the first equation by -2 and then add the equations together.

What is BC?

BC= units

Working together, Kevin and Casey
1
can wash the windows in 32 hours.
Kevin can wash the windows by
1
himself in 6 hours. How long would
2
it take Casey to wash the windows
by herself

To buy a car, Jessica borrowed $15,000 for 3 years at an annual simple interest rate of 9%. How much interest will she pay if she pays the entire loan off at the end of the third year? What is the total amount she will repay

A square has a perimeter of 36 cm.
Calculate the area of the square.

which of the following is an integer?

-500

-.50

5*102
-1/2
​

Read the poem excerpt. A backyard reality is rearranged. Hopscotch lines cower and hide, The toys in the yard . . . lost until spring. Which statement best describes the meter? The meter is free, reflecting a two-way conversation. The meter is free, making the poem unpredictable. The meter is fixed, and every syllable is stressed. The meter is fixed, drawing attention to the end rhyme.

What is the equation of the line passing through (-5, - 3)
and perpendicular to the line representing the equation
y=-3x+2?
Select one:
O
y = -
5 46
7-T
O ;=x+4
=ין
0 = 2 + 1/3
O
1=
ل |
3x - 10

Multiple Choice: Choose the correct answer for questions 1 and 2.
1. The height of Trisha, a 17-year-old female student, is in the lower quartile for height for girls aged 16 to 18. This statement means:
A. Trisha's height is average for her age.
B. Trisha is shorter than 25% of girls aged 16 to 18.
C. Trisha is shorter than 75% of girls aged 16 to 18.
D. Trisha is taller than 75% of girls aged 16 to 18.
What is the answer

2) Juan had $622 in his checking account. He deposited a check for $180, and $100
cash. However, he recently had an overdraft on his debit card and had a $35 overdraft
fee. What is his new account balance after the deposits and the fee?

PLEASE HELP ITS TIMED I DONT NEED BIG EXPLAINATION

Jane uses red and blue square tiles to make a design. Her design includes 4 squares that are each x tiles long. She has exactly 16 red tiles and uses them all in her design. The number of blue tiles in her design is modeled by the function b(x)=4x2−16

.


How can b(x)

be written to show how long Jane's squares are when her design includes zero blue tiles?


A

b(x)=4(x2−3.5)−2

B

b(x)=4(x2−4)

C

b(x)=4(x+2)(x−2)

D

b(x)=4(x2−2)−8

Find the mean, median and mode of the weights of the people shown.

are there instances that rational algebraic equation can be transformed into quadratic equation​

A square barn has an area of 64 square meters. How long is each side?

Use the distributive property to write equivalent expressions.

(10pts) Given: O ∈
AB
,
OF
is ∠ bisector of ∠COB, m∠FOB=70°.

a
(5pts) Find: m∠AOF


PLEASE HELP

Select all the transformations that take rectangle abcd onto itself

evaluate 2/3 times -4 times 9 divided by -2 divided by 1/2

A middle school took all of its 6th grade students in a field trip to see a ballet at a theater that has 4200 seats. The students filled 84 percent of the seats in the theater. How many 6th graders went on the trip?

Name • A compound subject has two or more subjects with the same predicate. • A compound predicate has two or more predicates with the same subject * Combine subjects or predicates using and, or, or but, or the words eitherior and neitherinor. A Write an S if the sentence has a compound subject. Write a P if the sentence has a compound predicate. Write each compound subject or predicate on the line. Then put parentheses around the word or words that combine the subjects or predicates Omar got a new puppy and named her Daisy. 2. Daisy and Omar enjoy playing outside together in good weather. 3. Nesther Omar nor Daisy likes to be outside in the rain.​

If on a scale drawing 75 feet are represented by 45 inches, then a scale of 1/5 represents how many feet

laura spent 2/5 of her money now she has $18 left how much money did she have origanily

The sum of two numbers is 59. The smaller number is 5 less than the larger number. What are the numbers?
Help please

here are the first three terms of a different sequence 1 2 4 write down two numbers that cold be the 4th and 5th terms of this sequence give the rule you have used to get your numbers

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can someone pl help me