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arsen [322]
3 years ago
14

Divide f(x) by d(x), and write a summary statement in the form indicated.

Mathematics
2 answers:
aleksandrvk [35]3 years ago
8 0

Answer:

x^{2} +5x-3

Step-by-step explanation:

If we divide these two polynomials, we would have:

\frac{x^{4}+5x^{3}-2x^{2}+5x-3}{x^{2}+1}=x^{2} +5x-3

To do a long division form, we have to divide term by term, like its shown in the image.

Using the image is better that writing it down here, because this doesn't have a format to divide polynomials.

Therefore, the answer is:

x^{2} +5x-3

Mice21 [21]3 years ago
3 0
F ( x ) : d ( x ) =
( x^4 + 5 x³ - 2 x² + 5 x - 3 ) : ( x² + 1 ) = x² + 5 x - 3 
- x^4           - x²
-----------------------
           5 x³ - 3 x²
         - 5 x²          - 5 x
        ----------------------------
                  - 3 x²         - 3
                 + 3 x²         + 3
               ---------------------
                R ( x ) = 0
Answer: x² + 5 x - 3
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Given that √3  = 1.7321 , find correct to 3 places of decimals , the value of √192 - 1 / 2√48 - √75​
Flauer [41]

Step-by-step explanation:

the value of root three is given already so the question is asking you to round it of to the nearest 1000 which means there should be three numbers after the decimal point.

3 0
2 years ago
Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

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Paraphin [41]

Answer:

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Step-by-step explanation:

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mezya [45]

Answer:

Step-by-step explanation:

56y^2/9-30y+25

4 0
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