All categories

3 years ago

Find the quotient and the remainder. 9x^4 - x^2 + 2x + 9 divided by x^2 + 8 Use polynomial long division

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Step-by-step explanation:

Solution

Given:

9x4−4x2+4 divided by 3x2−4x+2

To find:

Quotient and remainder

Solution:

Consider,

3x2+4x+2

3x2−4x+2 )9x4−4x2+4

9x4+6x2−12x3

12x3−10x2+4

12x3−16x2+8x

6x2−8x+4

From the above long division,

Quotient=3x2+4x+2

Remainder=0

You might be interested in

Which set is ordered greatest to least?

weeeeeb [17]

16% = 0.16

1/6 = 0.16666

1.6x10^6 = 1600000

0.166 = 0.166

order from greatest to least:

1.6x10^6, 1/6, 0.166, 16%

Answer is D

6 0

3 years ago

Which is the graph of x-y=1?

Vikentia [17]

Answer:

In graph

Step-by-step explanation:

First put it in Slope -Intercept form.

then graph the y- intercept first.

After that it's rise over run so think 1/1

up 1 over one.

7 0

3 years ago

What is the slope of the line on the graph

cupoosta [38]

Answer:

The answer is 1/2. Hope that helps

Step-by-step explanation:

You count up how many times you need to. You then count right.

5 0

3 years ago

Read 2 more answers

Prove that : sinA/1+cosA + 1+cosA/sinA=2cosecA

tekilochka [14]

Step-by-step explanation:

$\frac{sinA}{1+cosA} +\frac{1+cos}{sinA} =2cosec\\\\\\\frac{sin^{2}A+(1+cos)^{2} }{sinA(1+cosA)} \\\\$

$\frac{sin^{2}A+1+cos^{2}+2cos}{sinA(1+cosA)} \\\\$ and we have $sin^{2}+cos^{2} =1$

so $\frac{1+1+2cosA }{sinA(1+cosA)} \\\\$

$\frac{2+2cosA }{sinA(1+cosA)} \\\\$

$\frac{2(1+cosA)}{sinA(1+cosA)} \\\\$

$\frac{2}{sinA}$ we have $\frac{1}{sin}=cosec\\$

Finally $2cosecA$

I really hope this helps coz it took much time

3 0

2 years ago

Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm

Charra [1.4K]

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

$Volume = (4/3) * \pi * radius^3$

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

$Volume = (4/3) * \pi * 7^3$

$Volume = 1436.75\ in^3$

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

$Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes$

Tyler should buy 2 goldfishes for his fish tank,

3 0

3 years ago

Read 2 more answers