Can somebody solve this: x^4+2x^3-25x^2-26x+120

Answers

Answer 1

Answer:

 (x + 5) • (x + 3) • (x - 2) • (x - 4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

     -3    +    -5    =    -8

     -1    +    -15    =    -16

     1    +    15    =    16

     3    +    5    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  3  and  5

                    x2 + 3x + 5x + 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+3)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x+3)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x+3)

            Which is the desired factorization

 (x + 5) • (x + 3) • (x - 2) • (x - 4)


Related Questions

A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 6 cm 5 cm​

Answers

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1


Please help. Whats the answer

Answers

Answer:

The answer is letter C.

I hope it help

2(x-5)=8x+14-2X
what is the first step

Answers

Answer:

Distribute the 2 through to the (x-5)

Step-by-step explanation:

After that you get x by itself and stuff like that, but first is distributing.

I forgot how to find a function in a graph ​

Answers

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Please help if possible :)

Answers

THE ANSWER IS: 16

since N is the incenter,
ND = NE = NF

set the two equations equal to each other
solve for x
plug back x into one of the equations

The legs of a right triangle measure 10 feet and 24 feet. What is the length of the hypotenuse, in
feet?
A. 27
B. 26
C. 34
D. 71,644
E. 48

Answers

Answer:26

Step-by-step explanation:

a squared+b squared= the hypotenuse squared

Input

10 squared+24 squared=the hypotenuse squared

100+576=676 squared

Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.

can someone plz help

Answers

Answer:

x=16

Step-by-step explanation:

What is the distance from A(-3, 6) to B(4, -3)?

\/~~32

\/~~-32

\/~~10

\/~~130

Answers

Answer:

D)  √130

The distance of the given points

AB = √130

Step-by-step explanation:

Explanation:-

Given points are A(-3,6) and B( 4,-3)

The distance formula

   AB = [tex]\sqrt{x_{2}-x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

 AB = [tex]\sqrt{(4-(-3))^{2} +(-3-6)^{2}[/tex]

 AB = [tex]\sqrt{(7)^{2} +(-9)^{2} }[/tex]

AB = [tex]\sqrt{49+81}[/tex]

AB = √130

help me please its hard and im like really not smart.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B= <B

Step-by-step explanation:

The lines indicate the congruence, <G and <C both have the two lines

Simplify the following
16a^2b^3c^6/48ab^5c^6​

Answers

Answer:

a/3b^2

Step-by-step explanation:

16a^2b^3c^6/48ab^5c^6

the c^6 cancel out, then simplify a^2 and a: ​16a^2b^3/48ab^5 = ​16ab^3/48b^5

Then divide 48 and 16 you get 3 ​16ab^3/48b^5 = ab^3/3b^5

And lastly, simplify b^3 and b^5  ab^3/3b^5 =

a/3b^2

Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30

Answers

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn

Answers

3,500 (.024) = 84
84 (5) = $420 in simple interest

Solve the system by substitution y = -6x and -2x-7y=40

Answers

Answer:

x=4 y=8

Step-by-step explanation:

please help and show work​

Answers

Answer:

[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]

Step-by-step explanation:

[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]

What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units

Answers

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

What is the area of a triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

Learn more about area of a triangle;

brainly.com/question/2532574

#SPJ7

Joey has already taken 3 pictures at home, and he expects to take 1 picture during every
day of vacation. How many days will Joey have to spend on vacation before he will have
taken 13 pictures?

Answers

As he’s already taken 3, he only needs 10 more photos for 13. So he needs 10 days to get the rest
He has to spend 10 days on vacation, because he already took 3 pictures at home.

What is the value of x? Enter your answer in the box.

Answers

i think it’s 22, not sure tho

Solve each system of equations algebraically

y=x+2
y=-3x​

Answers

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

-3 -5 1 0 3
Three different numbers from the list are added together to give the smallest possible total.
Complete the sum below.

Answers

The answer is -3 + -5 + 0 = -8 :)

may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^2+128

Answers

Answer:

[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]

Step-by-step explanation:

[tex]x^4+11x^2=3x^2+128[/tex]

First, we subtract 128 from both sides:

[tex]x^4+11x^2-128=3x^2[/tex]

Then, we subtract [tex]3x^2[/tex] from both sides:

[tex]x^4+8x^2-128=0[/tex]

Rewrite the equation:

[tex]u^2+8u-128=0[/tex]

Insert and solve:

[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]

Please give Brainliest

Please I really need help fast

Select the compound inequality shown on the graph.
+++
-5 -4 -3 -2 -1 0 1
N
3
4 5

A. x < -1 and x 24

B. x>-1 and x 34

C. -13x34

D. -13x<4

Answers

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

and, the second part of inequality x≥4

So, the compound inequality is x < -1 and x≥4.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ2

Please help me with this homework

Answers

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15

PLEASE HELP ME
PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!

Answers

You take 240 divie it by 2 which is 120 and that should be your answer

please help on this

Answers

Answer:

Try the first one but I think i that it

Step-by-step explanation:

Hope that helps

Help me please I need this grade!

Which expression is equivalent to 24x + 18y?

A) xy + 42

B) 6(4x + 3y)

C) 6xy(4 + 3)

D) 42xy

Answers

Step-by-step explanation:

The Answer is C I got it right on edge.

Answer:

B) 6(4x + 3y)

Step-by-step explanation:

I got that one wrong I got a 90 but B is it

Can someone please help I’ll mark you the brainiest

Answers

Answer:

try photo math it's meant for this kind of stuff

Huy is incorrect.He made a mistake in step 2 of the solution for adding 9 both times

help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?

Answers

y= -3x\2 + 5 hope this helped :))
The slope is m=-3/2
y-2=-3/2(x-2)
y-2=-3/2x+3
y=-3/2x+5

3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]

Answers

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

i’m almost positive it would be 5a+13

In this cube each small square has a side length 1 unit what is the surface area of this cube

Answers

Answer:  6 square units

==============================================================

Work Shown:

x = side length = 1 unit

SA = surface area of cube

SA = 6x^2

SA = 6*1^2

SA = 6*1

SA = 6

The surface area of the cube is 6 square units.

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

Side note:

In general, each face is x*x = x^2 units in area, and there are 6 of those faces. This is why the general surface area is 6x^2. In this case, each face is 1 square unit, so all 6 faces lead to a total of 6 square units.

f(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`

Answers

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

SEE ANSWER

give me brainilest

Answer:

[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]

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