factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!​

Answers

Answer 1

Answer:

(x + 1)(x + 2)(2x + 1)(x - 3).

Step-by-step explanation:

From the leading and last coefficients, 2 and -6  the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).

Try x = 1:

f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.

f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.

Therefore (x + 1) is a factor  (By the factor theorem)

Try x = 2:

f(2) =  32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.

f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.

(x + 1)(x + 2) = x^2 + 3x + 2.

Long division:

                        2x^2 - 5x - 3   <-----------Quotient

                      --------------------------------------------

x^2 + 3x + 2 )     2x^4  +   x^3   -14x^2 -  19x  -  6

                          2x^4  + 6x^3 +  4x^2  

                                      -5x^3  - 18x^2 - 19x

                                      -5x^3  - 15x^2 - 10x

                                                      -3x^2 - 9x  - 6

                                                      -3x^2  - 9x - 6

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

2x^2 - 5x - 3 = (2x + 1)(x - 3)

So Finally,   the factors are (x + 1)(x + 2)(2x + 1)(x - 3).


Related Questions

2) Bobby's chess team is made up of 10 boys and 8 girls.

What is the ratio of boys to girls on the chess team? (2 pt)

Answers

I believe it would be 10 : 8

evaluate tan-1 (1.6) giving your answer to the nearest degree​

Answers

Answer:

58degrees

Step-by-step explanation:

Given

tan^-1(1.6)

= tan^-1(16/10)

= tan^-1(8/5)

= 57.99 degrees

Hence the value of tan^-1(1.6) to the nearest degrees is 58degrees

Find the measure of each interior angle of the regular polygon.

Answers

Answer:

the interior angle of polygon is nonagon

and the measurement is 1440

The spinner is shown has eight congruent sides the spinner is spun 200 times. What is a reasonable prediction for the number of times the spinner will land on 2 or 3

Answers

Answer:

50 times

Step-by-step explanation:

Total number of faces = total possible outcomes = 8

Number of 2 or 3 on spinner = required outcome = 2

Probability of obtaining a 2 or 3 = required outcome / Total possible outcomes

P(2 or 3) = 2 / 8 = 1/ 4

From 200 ; prediction for the number of 2 or 3

1/4 * 200

= 50 times

Someone!!!!
I will mark the person who answers with an actual answer brainliest
Please help!!!
Due soon

Answers

Answer: Just use a calculator.

Step-by-step explanation:

The answer is 8 minutes


What is the value of x in the drawn figure?
A. 45
B. 3
C. 27
D. 19.8

Answers

Answer:

A 45

Step-by-step explanation:

45 is the answer and hope this helps!

Answer:

x = 3

Step-by-step explanation:

2x = 5x - 9

add 9 to each side

2x + 9 = 5x

subtract 3x from each side

9 = 3x

divide each side by 3

3 = x

x = 3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Whats the area of the rectangle?
Length: 2 1/7
width: 3 1/3

I dont need an explanation just the simplified answer

Answers

Answer:

The area of rectangle is "31 units²".

Step-by-step explanation:

The given values are:

Length of rectangle,

= [tex]\frac{21}{7}[/tex]

Width of rectangle,

= [tex]\frac{31}{3}[/tex]

As we know,

The area of rectangle is:

=  [tex]Length\times width[/tex]

On substituting the values, we get

=  [tex]\frac{21}{7}\times \frac{31}{3}[/tex]

=  [tex]\frac{217}{7}[/tex]

=  [tex]31 \ units^2[/tex]

find the measure of the arc or angle indicated. assume that lines which appear to be diameters are actual diameters just enter the number no degree sign or word

Answers

Answer:

I think D

if wrong correct me plssssssss

have a nice day

And good luck if you have exam

#Captainpower

√-1
factor completely without any 'i'

Answers

Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go

Evaluate the expression below when n = 2.4. If needed, answer as a fraction or a decimal.
12n−8

Answers

Answer:

20.8

Step-by-step explanation:

Plug in 2.4 as n in the expression, and simplify:

12n - 8

12(2.4) - 8

28.8 - 8

= 20.8

So, the answer is 20.8

HELP PLEASE WILL GIVE A BRAINLIST!!!!!

Answers

Answer:

C. opposite sides are parelell

Answer:

It's C bestie! opposite sides are parallel!

Can you help me please I’ll mark you brainliest

Answers

Answer:

4

Step-by-step explanation:

Since its a 45-45-90 triangle then the 2 legs are going to be the same.

Answer:

90°

Step-by-step explanation:

Always remember that the sum of all angles is 180°.

So there are two 45° angles, so just add them up and you get 90

So if you subtract 90 from 180, you get 90, and that's your answer

Mathh please help and actually do it

Answers

Answer:

Parallel

Step-by-step explanation:

they have the same slopes

Answer:

i believe its b sir. brainliest?

Step-by-step explanation:

Help no wrong answers plz help me ASAP thanks you guys I am begging!

Answers

Answer:

The third statement is true.

2.5t + 4 = 6.5 (in. of snow)

Answer:

I think its the first one

Step-by-step explanation:

PLEASE HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

C.

Step-by-step explanation:

In the figure below, OQP is a right angle.
(2x - 5)
29°

X
What is the measurement of LQM?
A 19°
B. 22°
c. 310
D. 38

Answers

Answer:

22

Step-by-step explanation:

Is this right? Please help me

Answers

Answer:

yeah its correct

Step-by-step explanation:

Answer:

[tex]\boxed {\mathfrak {B) 1.6}}[/tex]

Step-by-step explanation:

B) [tex]r-value[/tex] [tex]cant[/tex] [tex]be[/tex] [tex]1.6[/tex]

[tex]-1 \leq r\leq 1[/tex]

[tex]-----[/tex]

Write the decimal as a percent

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

0.6 repeating is 66%.

From decimal to percent:

To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.

From decimal to fraction to percent:

I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Give an example of a number that has many factors and an example of a number that has few factors.....​

Answers

Answer:

42: 1, 2, 3, 6, 7, 14, 21, 42

43: 1, 43

Step-by-step explanation:

The shape of a lateral face of a pyramid is always an isosceles triangle?​

Answers

Answer:

No.

Step-by-step explanation:

Because the lateral faces of a regular pyramid are congruent isosceles triangles. The altitude of any of these triangles is the slant height of the regular pyramid.

The path of a flying fish as it made its approach to the surface of the ocean and flew out of the water is represented by the quadratic function h(t) = -t2 + 6t - 5, where t represents the time, in seconds, and h(t) represents the fish's height and depth, in feet. Graph the function using the graphing calculator. To the nearest second, how long was the fish out of the water?

1 second
3 seconds
4 seconds
5 seconds

Answers

Answer:

4 seconds

Step-by-step explanation:

fish broke the water's surface in 1 second and went back into the water at 5 seconds

∴ it was out of the water for 4 seconds

Answer:

4

Step-by-step explanation:


Guests at a campground can stay in a teepee
shaped like the rectangular pyramid shown. If
the height of the teepee is 18 feet, find the total
volume of the teepee.
10 feet
15 feet

Answers

Answer:900ft

Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

b 4 Lee's than 3 times Mary's age is 3x-4

Answer:

3x -4

Step-by-step explanation:

we know this because Charlenes age is - 4 than Marys age.

Now, how much is that something? 3x

3x -4

can someone help me please?

Answers

(6x + 30)+(2x+6)= 180
8x +36= 180
8x= 144
X= 18
So 2x+6 = 42
And 6x+30 = 138

HELP ME PLZ!!! This is too hard

Answers

Answer:

The solution of this trigonometric identity is [tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Step-by-step explanation:

Let [tex]7\cdot \tan \theta - 8 = 5\cdot \tan \theta -5[/tex], we proceed to simplify the expression and solve afterwards either by algebraic or by trigonometric means:

[tex]7\cdot \tan \theta -8 = 5\cdot \tan \theta -5[/tex]

[tex]2\cdot \tan \theta = 3[/tex]

[tex]\tan \theta = \frac{3}{2}[/tex]

[tex]\theta = \tan^{-1} \frac{3}{2}[/tex]

The tangent is a trigonometric function with a period of 180°. Hence, we find that the family of angles associated with such value is:

[tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Solve for x.



5+(x−2)=8



Enter your answer in the box.

x =

Answers

Answer:

5

Step-by-step explanation:

5+(x-2)=8

5+x=10

x=5

Answer: x=5

Step-by-step explanation:

A company sells fruit smoothies in two sizes: 6 ounces and 20 ounces. You know that a 6-ounce bottle contains 96 milligrams of sodium. If the amount of sodium is directly proportional to the fluid ounces of smoothie, how many milligrams of sodium does a 20-ounce bottle contain?

And can yall put an explanation please

Answers

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

[tex]\frac{96}{6}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

The function h(n) = 8 - 3n represents the value of the nth term in a sequence.
What is the product of the 2nd and 5th terms of the sequence?

Answers

Answer:

aaaa

Step-by-step explanation:

Answer:

h(2) = 2

h(5) = -7

Step-by-step explanation:

h(n)=8-3n

h(1)=8-3(1) = 5

h(2)=8-3(2) = 2

h(5) = 8-3(5) = 8-15 = -7

Find the product of the sum and difference. (Please try to answer all of them If not it's OK!)

Answers

Answer:

[tex]16 {x}^{2} - 9[/tex]

Step-by-step explanation:

Use the F.O.I.L. method

Answer:

1) [tex]81c^{2}[/tex]-1

2) [tex]16x^{2}[/tex]-9

3) [tex]-4y^{2}[/tex]+25

4) [tex]-w^{2}[/tex]+16

Step-by-step explanation:

Please help me solve this answer. Just give the correct answer.

Answers

Answer:

2. B. 30 sq yd

Step-by-step explanation:

[tex]area = area \: of \: triangle \: + \: area \: of \: parallelogram \\ but \: area \: of \: parallelogram = area \: of \: rectangle - area \: of \: two \: small \: triangles \\ = (4 \times 8) - 2( \frac{1}{2} \times 3 \times 4) \\ = 32- 12 \\ = 20 \: sq \: yards \\ area = (\frac{1}{2} \times 5 \times 4) + 8 \\ = 10 + 20 \\ = 30 \: sq \: yards[/tex]

Answer:

The area of shaded figure is 30 sq yards .

Step-by-step explanation:

In the graph the figure is consist of :

Many grid square and each square grid is equals one square yards . Two shapes which are parallelogram and triangle .

To calculate the area of shaded figure we need to find the area of triangle and parallelogram and combine them to get the area of shaded figure.

Finding the area of triangle:-

Area of triangle = ½ × Base × Height

substitute the values and solve;

Area of triangle = ½ × 5 × 4

Area of triangle = ½ × 20 yard²

Hence, the area of triangle is 10 sq yards.

Finding the area of parallelogram :

Here, to calculate the area subtract the area of two small circle from the area of rectangle .

Area of parallelogram = l × b - 2 (( b × h )½)

Substitute the values we get,

Area of parallelogram = 4 × 8 - 2 ( 3 × 4 × ½)

Solve it ;

Area of parallelogram = 32 - 12.

Substitute 12 from 32 .

Area of parallelogram = 20 sq yards.

Hence, Area of parallelogram = 20 sq yards.

Finding the area of shaded figure.

Area of figure = Area of parallelogram + Area of triangle.

Area of figure = 20 sq yards + 10 sq yards.

Add 20 sq yards and 30 sq yards.

Area of figure = 30 sq yards .

Hence,

The area of shaded figure is 30 sq yards .

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