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Nikitich [7]
3 years ago
4

A student divided f(x) = 3x^3 + 3x^2 + 5x - 4 by x + 2 and found the remainder was r = -6. Based on the remainder theorem, what

can be concluded about f (x)?
Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                    x-(3*x^3+8*x^2+5*x-7)=0 

Step by step solution :Step  1  :Equation at the end of step  1  : x-((((3•(x3))+23x2)+5x)-7) = 0 Step  2  :Equation at the end of step  2  : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step  3  :Step  4  :Pulling out like terms :

 4.1     Pull out like factors :

  -3x3 - 8x2 - 4x + 7  = 

 -1 • (3x3 + 8x2 + 4x - 7) 

Checking for a perfect cube :

 4.2    3x3 + 8x2 + 4x - 7  is not a perfect cube 

Trying to factor by pulling out :

 4.3      Factoring:  3x3 + 8x2 + 4x - 7 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  3x3 - 7 

Group 2:  8x2 + 4x 

Pull out from each group separately :

Group 1:   (3x3 - 7) • (1)

Group 2:   (2x + 1) • (4x)

Step-by-step explanation:

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4x + 5y = 3<br>kx + 15y = 9 find k<br>​
9966 [12]

Answer:

12

Step-by-step explanation:

4x + 5y = 3 ................ (i)

kx + 15y = 9................(ii)

Dividing eqn (ii) by 3, we get,

k/3 x + 5y = 3.............(iii)

Subtracting eqn (iii) by eqn (i), we get,

-4x - k/3 x = 0

or, -(4 - k/3 )x = 0

or, 4 - k/3 = 0/x

or, 4 - k/3 = 0

or, 4 = k/3

or, k = 4*3

:. k = 12 (Ans)

6 0
3 years ago
Can Anyone Help Me Solve This?
drek231 [11]

Answer:

I think the answer is -6

Step-by-step explanation:

-4-(-2)

6 0
3 years ago
4. Solve the following inequality: 3y-1 less than 3
mylen [45]

3y - 1 < 3


Isolate the y. Treat the less than or equal like an equal sign.

Do the opposite of PEMDAS. First, add 1 to both sides

3y - 1 (+1) < 3 (+1)

3y < 4

Next, divide 3 from both sides

3y/3 < 4/3

y < 4/3

y < 4/3 is your answer

hope this helps

3 0
3 years ago
What is the area of a parallelogram whose vertices are A(−4, 9) , B(11, 9) , C(5, −1) , and D(−10, −1) ?
torisob [31]
Did you get the answer?

7 0
3 years ago
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The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels . one day , she counts 15
ICE Princess25 [194]

Answer:

Step-by-step explanation:

U+b=15

7+8=15

4 0
3 years ago
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