17. divide using synthetic division, and write a summary statement in fraction form. 2x^5 - x^4 +3x^2 - x + 5 over x - 1 2x4 - 3x3 - x + six divided by quantity x minus one 2x4 + x3 - x2 + 2x + 1 + six divided by quantity x minus one 2x4 + x3 + x2 + 4x + 3 + eight divided by quantity x minus one 2x4 + x3 + 4x2 + 3x + eight divided by quantity x minus one 18. state the vertical asymptote of the rational function. f(x) = (x - 6)(x+7) over x^2 - 4 x = 6, x = -7 x = 2, x = -2 none x = -6, x = 7 19. state the horizontal asymptote of the rational function. f (x) = x^2 + 6x - 8 over x - 8.

17. 2x^4 + x^3 + x^2 + 4x + 3 + 8/(x -1)

18. x = 2, x = -2

19. The slant asymptote is y = x + 14

17. See the first attachment for the synthetic division. The summary statement is the expression represented by the result.

18. The denominator is the difference of two squares, so is readily factored to ...

... (x -2)(x +2)

The zeros of this product are the locations of the vertical asymptotes of f(x). They are ...

... x = 2, x = -2.

19. Dividing the numerator by the denominator (using synthetic division, if you like) gives the result ...

... f(x) = x + 14 + 104/(x -8)

The linear expression y=x+14 defines the end behavior when x gets large. That is, it is the slant asymptote of the function. See the second attachment for a graph.

(There will be a horizontal asymptote only when the degrees of numerator and denominator are the same. In this case, they are not.)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540