Question

Medal for right answer :)))))))))))

Find the remainder of (h^4 + h^2 – 2) ÷ (h + 3)

Answer 1

Here's what I found: H^4+h^2−2=h+3

Subtract h+3 from both sides.

h^4+h^2−2−(h+3)=h+3−(h+3)

h^4+h^2−h−5=0

Use quartic formula.

h=−1.227079,1.444794

Answer 2

I HAVE 4 MORE QUESTIONS AFTER THIS ONE :) lmao

Answer 3

there are two ways to find remainder
1st) divide by using long or synthetic division method
2nd) solve the divisor `h+3` for the variable h and then substitute h for its value into the polynomial

Answer 4

how should i write that though like whats the final answer it says type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Answer 5

hint:
it is suffice to replace \(h=-3\) into this polynomial:
\(h^4+h^2-2\)

Answer 6

so what’s the final and complete answer :)??????????

Answer 7

please try to do this computation:
\((-3)^4+(-3)^2-2=...?\)

Answer 8

88?

Answer 9

that's right!

Answer 10

so thats the final answer?

Answer 11

yes! We have applied the so called \(Theorem \;of\; Ruffini\)

Answer 12

I have more questions so more medals to give

Answer 13

these kids should learn how to substitute numbers.

Answer 14

Using synthetic division, find (2x^4 + 4x^3 + 2x^2 + 8x + 8) ÷ (x + 2).

Answer 15

anyone??

Answer 16

thx btw

Answer 17

I know how to do such division, nevertheless I have a slightly different method, since I'm italian

Answer 18

cool cool so????

Answer 19

if you want I can apply my method

Answer 20

yeah i just need the answer :)

Answer 21

I'm sorry, I can't give the direct answer, since it is against the Code of Conduct

Answer 22

well just make it more simple

Answer 23

ok!
first step we have to make such division: \(2x^4:x=...?\)

Answer 24

2^3

Answer 25

so is it 2x^3+2x^2 or just 2x?

Answer 26

we have \(2x^3\) am I right?

Answer 27

yeah?

Answer 28

but the ned number? is it 2x?

Answer 29

next*

Answer 30

so we can write this:

Answer 31

wait so whats next?

Answer 32

next we have to do this computation:
\[ - 2{x^3}\left( {x + 2} \right) = ...?\]

Answer 33

is the answer 2x^3+2x^2+4

Answer 34

yes! It is

Answer 35

yaws

Answer 36

wait a sec

Answer 37

k so theres a triangle so 3 sides

Answer 38

one side is A=2c^3+16

Answer 39

b=c+2

Answer 40

so what is the height or h

Answer 41

?/////????

Answer 42

we have to compute the area of such triangle, first

Answer 43

Hint: The formula for area of a triangle is A = bh, where b is the length of the base and h is the height of the triangle.)

Answer 44

yes! I know, nevertheless, we have to use the Eron's formula first

Answer 45

oaky

Answer 46

sry I’m pretty bad at this

Answer 47

firs step, we have to compute the half perimeter:
\(p=(a+b+c)/2=(2c^3+16+c+2+c)/2=...?\)

Answer 48

first*

Answer 49

okay

Answer 50

please try to complete such computation

Answer 51

is it 2c^2-4c+8? theres also another one which ends with some more numbers

Answer 52

like after 8 theres ((32/c+2))

Answer 53

so which is it

Answer 54

hint:
the perimeter is:
\[\begin{gathered}
\left( {2{c^3} + 16} \right) + \left( {c + 2} \right) + c = 2{c^3} + 2c + 18 = \hfill \\
\hfill \\
= 2\left( {{c^3} + c + 9} \right) \hfill \\
\end{gathered} \]
so, what is the half-perimeter?

Answer 55

I’m not sure? does the answer not start with 2c^2 is it maybe 4c^2

Answer 56

it is not the answer it is the perimeter

Answer 57

so what’s the height? I’m confused

Answer 58

as you well know, a triangle has three heights

Answer 59

is the triangle a right triangle?

Answer 60

what but i know a and b so whats c

Answer 61

right?

Answer 62

like this one:

Answer 63

the h that I’m trying to find is a 90 degree

Answer 64

the one to the left

Answer 65

please can you make a drawing of the triangle?

Answer 66

yeah wait

Answer 67

there it is

Answer 68

is \(A\) an area?

Answer 69

what

Answer 70

I’m trying to find h

Answer 71

Find the height, h, of the triangle shown.

h = .

(Hint: The formula for area of a triangle is A = bh, where b is the length of the base and h is the height of the triangle.)

Answer 72

then we have to solve such equation:
\((c+2) \ h=2c^3+16\)

Answer 73

if i give you 4 options can u tell me which on is correct

Answer 74

namely we have to find the value of \(h\):
\[h = \frac{{2{c^3} + 16}}{{c + 2}} = ...?\]

Answer 75

here are the answer options

Answer 76

is it a b c or d??????????

Answer 77

plzzzzzz

Answer 78

hint:
we can use this identity:
\[\begin{gathered}
2{c^3} + 16 = 2\left( {{c^3} + 8} \right) = \hfill \\
\hfill \\
= 2\left( {c + 2} \right)\left( {{c^2} - 2c + 4} \right) \hfill \\
\end{gathered} \]
so, after a substitution, we get:
\[h = \frac{{2{c^3} + 16}}{{c + 2}} = \frac{{2\left( {c + 2} \right)\left( {{c^2} - 2c + 4} \right)}}{{c + 2}} = ...?\]

Answer 79

ok so the answer is 2c^2-4c+8?

Answer 80

that's right!