All categories

2 years ago

What are the difference between polynomial long division and arithmetic long division?

2 answers:

5 0

Not much, other than that in polynomial long division you use variables and can have a variable and a number while in arithmetic long division you just have numbers

emmainna [20.7K]2 years ago

4 0

Answer:

The purpose of long division with polynomials is similar to long division with integers; to find whether the divisor is a factor of the dividend and, if not, the remainder after the divisor is factored into the dividend. The primary difference here is that you are now dividing with variables.

You might be interested in

The sphere is centered in the cube. Find an expression for the volume of the cube outside the sphere

Nikolay [14]

Solution -

The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.

If the length of side of the cibe = a , then radius of the sphere is $\frac{a}{2}$

Volume of the cube = a³, volume of the sphere = $\frac{4}{3}$ π(radius)³ = $\frac{4}{3}$ π( $\frac{a}{2}$ )³

volume of the cube outside the sphere = volume of the cube - volume of the sphere

= $a^3 - \frac{4}{3}$ π( $\frac{a}{2}$ )³

= $a^3 -\frac{1}{6} \pi a^{3}$

=a³(1 - $\frac{\pi }{6}$ )

7 0

2 years ago

Kim purchased a dress that was originally $35. It was on sale for 30% off. She also bought a pair of shoes for 1/2 off the origi

LUCKY_DIMON [66]

Answer: $34.32

Step-by-step explanation: We first calculate the price of the dress that was on sale. 30% of 35 is 35/10 x3. This is equal to 3.5x3 which is 7+3.5 = 10.5 We subtract this from 35 to get $24.5. So, the dress cost $24.5. Next 1/2 of 17 is 8.5. In total, the items cost $24.5+$8.5 = $33. Then, there is a 4% sales tax we have to add on to 33. 1% of 33 is 33/100 which is 0.33. This time 4 is 1.32. 33+1.32 is 34.32.

5 0

7 months ago

Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an ins

AVprozaik [17]

Answer: 17.89

Step-by-step explanation:

In binomial distribution, the standard deviation is given by :-

$\sigma=\sqrt{np(1-p)}$

As per given , we have

The number of vouchers in the sample with errors is denoted by x.

p= 0.20 , n = 2000

Then , $\sigma=\sqrt{2000\times(0.2)(1-0.2)}$

$\sigma=\sqrt{320}=17.88854382\approx17.89$

Hence, the standard deviation of x is 17.89.

6 0

2 years ago

Tara and her friends order a pizza. Tara eats 3 of the 10 slices and pays $4.20 for her share. assuming that Tara had paid at le

Mariulka [41]

$4.20 = 3/10 of pizza
1/10 = $4.20 ÷3
10/10 = [$4.20 ÷3] ×10

6 0

2 years ago

For each expression, write an equivalent expression that only uses addition a. 20 - 9 + 8 -7 b. 4x - 7y - 5z + 6 c. -3x - 8y - 4

Genrish500 [490]

Answer:

a. =11+ 1

b. =4x+ (-7y) + (-5z) +6

c. (-3x) + (-8y) +(-4)+(-8/7z)

Step-by-step explanation:

a. 20 - 9 + 8 -7

=11+ 1 ( this is obtained by solving)

b. 4x - 7y - 5z + 6

=4x+ (-7y) + (-5z) +6

We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.

c. -3x - 8y - 4 - 8/7z

-[ 3x+8y+4+8/7z]

(-3x) + (-8y) +(-4) +(-8/7z)

The minus sign is taken as common leaving the expression with the plus only.

It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.

3 0

2 years ago