Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainder, all rational roots, all possible roots, and actual roots of the given function. Make Sure to graph the function and state the turning points (Relative maximum and relative minimum) and end behavior (Graph is rising or falling on the right or left side, etc.) f(x) = 6x^3 − 29x^2 − 6x + 5?

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every combination of

±

p

q

±

p

q

, where

p

p

is a factor of the constant and

q

q

is a factor of the leading coefficient.

±

1

,

±

1

2

,

±

1

3

,

±

1

6

,

±

5

,

±

5

2

,

±

5

3

,

±

5

6

Step-by-step explanation:

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d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.