Write a polynomial function in factored form of least that the given zeros and a leading coefficient of 1.

1. -6, 3, 5
2. 2, -2, -6i

Write a polynomial function in standard form of least degree that have real coefficients, the given zeros, and a leading coefficient of 1.

3. -1, 1, 7
4. 3, -3, -2i

Answers

Answer 1

9514 1404 393

Answer:

p(x) = (x+6)(x-3)(x-5)p(x) = (x-2)(x+2)(x^2 +36)p(x) = x^3 -7x^2 -x +7p(x) = x^4 -5x^2 -36

Step-by-step explanation:

Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).

__

1. p(x) = (x -(-6))(x -3)(x -5)

  p(x) = (x+6)(x-3)(x-5)

__

2. p(x) = (x -2)(x -(-2))(x^2 +6^2)

  p(x) = (x -2)(x +2)(x^2 +36)

__

If you want standard form, you can start with factored form, then multiply it out.

3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)

  p(x) = x^3 -7x^2 -x +7

__

4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)

  p(x) = x^4 -5x^2 -36


Related Questions

Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.

Answers

Answer:

25

Step-by-step explanation:

because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.

Multiple choice A,B,C,D

Answers

Answer:

The Answer is A

Step-by-step explanation:

What is the length of of BC? with work pls help

Answers

Answer:

31

Step-by-step explanation:

Assuming the drawing is to scale

The triangle is equilateral according to measure, So the measure of angles A, B and C are the same and the lengths of sides AB, BC and BA are equalThere is very little information to go off, so the measurements are done with a ruler etc.With that in mind, this means AC=BC, ergo [tex]6x-5=4x+7[/tex] So, [tex]6x-4x=7+5[/tex] then [tex]x=6[/tex] Plugging that back into BC, we have [tex]4(6)+7=24+7=31[/tex]

5/12 as a whole number

Answers

Answer:

the answer is 0.41666666666

Answer:

when we convert 5/12 as whole number we get 0.41666666666

What is 19/25 as a percent

Answers

Answer:

76%

Step-by-step explanation:

Take 19/25.

Multiply them by 4.

76/100

Turn into a percentage

76%

bleh YwY




............

Answers

Answer:

UwU

OwO

Step-by-step explanation:

If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container

Answers

Answer:

64

Step-by-step explanation:

What is the percent change of 500 to 100

Answers

Answer:

400%

Step-by-step explanation:

First, work out the difference (decrease) between the two numbers you are comparing. 500-100=400

Next, divide the decrease by the original number and multiply the answer by 100. 400/100=4

4 x 100=400

Hope I helped!

Find the y-intercept, The equation of the x of symmetry and the x-coordinate of the vertex for 12.

Answers

Answer:

0, x=0, (0,0)

Step-by-step explanation:

f(x) =4x²

y-intercept is at (0,0) because there is no term with no variable

axis of symetry is x=0, because is the y-axis

x-coordinate of the vertex is 0 because the vertex is at (0,0)

Answer:

axis of symmetry-x=0

y-int-(0,0)

vertex-(0,0)

Step-by-step explanation:

f(x) = 3x2 – 3x + 1
Find f(-2)

Answers

Answer:

f(-2) = 19

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 3x + 1

f(-2) is x = -2

Step 2: Solve

Substitute:                    f(-2) = 3(-2)² - 3(-2) + 1Exponents:                    f(-2) = 3(4) - 3(-2) + 1Multiply:                        f(-2) = 12 + 6 + 1Add:                              f(-2) = 19

Which table values could be generated by the equation 4y+2x=16

Answers

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

x=6, y=7

x=8, y=8

x=10, y=9

Step-by-step explanation:

-6x+9<25


14x-23<5x+13

Answer ASAP please !!!!!!!

Answers

Answer:

the answer is 0

Step-by-step explanation:

I know

Answer:

0 im a classic mathematical girl

the product of a number and -7 is at most -70. what is inequality 18 points

Answers

Answer:

Inequality :

[tex]-7x\le \:-70[/tex]

Step-by-step explanation:

Let the unknown number be x

at most -70 = ≤ -70

[tex]x\times(-7) \leq -70\\\\-7x\leq -70[/tex]

Solving further  :

[tex]-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10[/tex]

In 8 hours, Jose can bake 288 cupcakes. How many
cupcakes per hour can he bake?

Answers

Answer:

36

Step-by-step explanation:

Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)

3
when p = 4 and q=34
q
=
3
4
.

Answers

Answer:

=pq+12p

Step-by-step explanation:

p(12+q)

=(p)(12+q)

=(p)(12)+(p)(q)

=12p+pq

Answer:

Its 2

Step-by-step explanation:

Just did this, please give brainliest!

rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Answers

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = -2(x + 2)² + 6

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6Combine like terms (constants):     f(x) = -2x² - 8x - 2

Plot the following equation using the x- and y-intercepts. Include at least one additional point on the line. Prove that the x-intercept, y-intercept and additional point are all solutions to the equation.

2x - 3y = 6

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph, x- and y-intercepts, additional point and proof in your answer.

Answers

x-intercept is 3 and y-intercept is -2

Write the equation of the line that is perpendicular to y = -3x +2 and passes through
(3.1).

Answers

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[tex]y = \frac{1}{3} x \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let me know if you need explanation

What is the equation for the line in slope-intercept form?

Answers

Answer:

y=mx+b is slope-intercept form

where m is the slope and b is the y intercept.

Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.

now all we need to do is find the slope

to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope

8/1 is the slope and 0,0 is your y intercept so we put nothing

the equation is y=8x

Step-by-step explanation:

Answer:

y=8x

Step-by-step explanation:

Pick two points (0,0) (2,16)

Then 16-0/2-0= 8

8 is the slope

The y intercept is 0 so

y=8x

One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?

Answers

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST

Answers

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

graph the line y=3x​

Answers

Answer:

here is a graph ( I hope I did it right lol)

Mary needs to order pizza for 18 students. Each student should get 1/4 of a pizza. How many pizza's should Mary order? How many pizza will be left over?

Answers

Answer:

Mary should order 5 pizzas,a half of a pizza will be left over.

Step-by-step explanation:


A hot air balloon is at 14 feet above sea level, if you remove 7 sandbags, where
would the hot air balloon be? ( 1 feet = 1 sandbag)

Answers

Answer:

21 feet above sea level.

Step-by-step explanation:

If you remove weight, a hot balloon goes up. 14+7(feet) = 21 feet above sea level.

Answer:

21ft

Step-by-step explanation:

what is the solution to this equation: 7m to the 2 power + 6m - 1 = ?

Answers

Answer:

7m² + 6m - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Combining Like TermsStandard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define expression

7m² + 6m - 1

Step 2: Simplify

The expression cannot be simplified further.

If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes

Answers

Answer:

c

Step-by-step explanation:

just took the quiz

Answer:

The answer is C) factor by grouping

Step-by-step explanation:

Edge 2020

7) What is the solution to the system of equations?

8) What is the solution to the system of equations?

9) Solve by using substitution and state the solution as an ordered pair. Show all of the steps used to determine the solution.

10) Solve by using substitution and state the solution as an ordered pair.

Photos attached

Answers

Answer:

A

C

D

Step-by-step explanation:

Inside of the triangle below has been extended to form an exterior angled 145°. find the value of X

Answers

Answer:

125

Step-by-step explanation:

90+145=235

360-235=125

Answer:

x=35

Step-by-step explanation:

Because with two angles making up one side of a straight line like that, their total will always be 280 degrees, Seein g that one of the angles is 145. 180-145= x or 35

Smallest two digit number using 6, 2, 7, 3

Answers

Answer:

23

Step-by-step explanation:

Rewrite the following equation in standard form
y-4=-5/2 (x+3)

Answers

Answer:

y-4=-5/2x+6

y=-5/2x+6+4

y=-5/2x+10

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