Which polynomial can be factored using the binomial theorem?

100x2 + 70x + 49
100x2 + 210x + 49
1,000x3 – 2,100x2 + 1,470x – 343
1,000x3 – 2,800x2 + 1,960x – 343

Answers

Answer 1

Answer:C

Step-by-step explanation:

Answer 2

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

What is Binomial Theorem?

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

Learn more about Binomial theorem here:

https://brainly.com/question/27813780

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Related Questions

Please help ASAP !!
Please help ASAP !!
Please help ASAP !!

Answers

just multiply!!!!!!!!!!!!!

Answer:

7/50

Step-by-step explanation:

That is the simpliest fraction. Hope dis helps

5x – 18 > 2(4x – 15).

Answers

Answer:

x<4

Step-by-step explanation:

5x-18>2(4x-15)

5x-18> 8x-30

-18>3x-30

12>3x

4>x

x<4

Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0

Answers

Answer:

0.03

Step-by-step explanation:

3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.

Answer:

A

Step-by-step explanation:

3/100=0.03

:))) Helps?

I need help. Please answer if u do know

Answers

Answer:

i think is (-3,2) because it look like in negative and posted

HELP ME ASAP PLEASE!!!!!

Answers

Answer:

88

Step-by-step explanation:

46= x° ( isosceles angles )

Now, taking all side of the triangle

46+46+y =180 ( sum of all side of triangle )

or, y= 180 -92

y = 88°

ANSWER

y = 88

EXPLANATION: in an isosceles triangle the two base angles are equal so x is 46. If you add 46 + 46 you get 92 subtract 180 by 92 and you get 88. Which is y the vertex angle

at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost

Answers

Answer:

4,840

Step-by-step explanation:

15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.

What is the equation of the line

Answers

it’s either y = 0 or x = 0, i believe it’s x= 0 but it could be the other

Answer:

x=-9

Step-by-step explanation:

help meeee please math​

Answers

He made $25 on Saturday :)

Explanation: On Sunday he made 30 because 6 hours x $5 so 55-30 = $25 on Sunday

Pl help me I will give Brainly

Answers

Answer:

Both gyms charge the same after 2 months and LA fitness has a greater initial fee.

Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1

Answers

u3uwi2i2i3ij3j3ui

Step-by-step explanation:

ii3jj3i3i3i3i3i3ii3u3ieu so

What is the least common denominator of 11/6 and 9/10?

Answers

Answer:

The least common denominator is 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the least common multiple ( L.C.M ) of 6 and 10 = 30

Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?​

Answers

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

Please help me out!!

Answers

Answer:

D.  9(3.1416)

Step-by-step explanation:

Which statement is not always true for a parallelogram?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

Which linear inequality is represented by the graph? ​

Answers

the answer is the first one

Answer:

The answer would be the last option. y<2/3x-1

Step-by-step explanation:

The slope is 2/3 and the line crosses the y axis at -1. Since the shaded part is below the line it would make the sign less than (<)

convert 16 into binary

Answers

convert 16 into binary number is 0b10000

Please help me with this

Answers

Answer:

The length= 16cm

The width= 6cm

The two long sides are 8cm both so 8 + 8 = 16

And the two short sides are 3cm both so 3 + 3 = 6

So your length should be 16cm and your width 6cm

I HOPE THIS HELPS! ∧   ∧

                              ⊂∵→ω←∵⊃

A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?

Answers

Answer:

[tex]\$ \ \dfrac{428}{500}x[/tex]

Step-by-step explanation:

Regular price of a pair of shoes = $[tex]x[/tex]

Discount offered = 20%

Amount of discount offered = 20% of $[tex]x[/tex]

Discounted price = Regular price - Amount of discount

Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]

Now, it is given that there is a sales tax of 7% as well on the price.

Sales tax is applied on the discounted price.

Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]

Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]  

[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]

[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]

Therefore, the expression to represent the final price of the pair of shoes:

[tex]\$ \ \dfrac{428}{500}x[/tex]

help how do yall find this easy i cannot-

Answers

Answer:

153/50 or 3.06

Step-by-step explanation:

Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.

Ex. (3/2)*(4/3)

Expand the linear expression 4(10x - 4).
40x - 16
40x + 16
40x - 4
10x - 16

Answers

Answer:

the correct answer is 40x-16

Step-by-step explanation:

here,

=4(10x-4)

=40x-16

A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.​

Answers

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

                                              ≈ 135 m

Therefore, length of the fence required = 132 m

What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5 ​

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5

STAY SAFE :)

(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)

Answers

Answer:

The answer is (3-,5) watch is C cause if you do that but in math form it's the same

Jamal drew the function below. Which explains whether or not his function is linear?

On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.

Answers

Answer:

A it is linear because it has a constant rate of change

Answer:

A.

Step-by-step explanation:

I just finished the test and got it right

Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster.

She writes the inequality as h > 48.

How can she graph the solutions of the inequality?
Plot an open circle at 48 and shade left.
Plot a closed circle at 48 and shade left.
Plot an open circle at 48 and shade right.
Plot a closed circle at 48 and shade right.

Answers

Answer:

Plot an open circle at 48 and shade right.Step-by-step explanation:

Answer:

C :)!

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 33, 28, 23, ....

Answers

Answer:

I believe it's an = 33 - 5(n - 1) or 38 - 5n they both should work

Step-by-step explanation:

I'm think that explicit formulas are like an = a1 +d(n - 1) and just replace the Variables with the correct numbers

Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18

Answers

Answer:

A. 4.5

Step-by-step explanation:

The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)

Answers

Answer:

The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Step-by-step explanation:

Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.

–42ft, –20ft, –18ft, –8ft.

From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

In the expression 2a-5+4a-9, name the constants​

Answers

Answer:

-5 and -9 are the constants, can also be written -14

what is angle 1,2,3,4,5,6,7

Answers

1 is 51, 2 is 34, 3 is 95, 4 is 38, 5 is 47, 6 is 74, 7 is 59. If it says to put u it’s they’re all in degrees
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