Use the remainder theorem to find the remainder for (x^3-x+6) divided by (x-2) and state whether or not the binomial is a factor of the polynomial.

Remainder is 12.

The binomial is not a factor of the given polynomial.

Step-by-step explanation:

The Remainder Theorem states that when a polynomial is divided by a binomial , then the remainder is given as .

Also, if is 0, then is a factor of the given polynomial.

Here, and

So, the remainder on dividing by is .

Now, .

Therefore, the remainder is 12.

∵   is equal to 12 and not 0. So, the binomial is not a factor of the given polynomial.

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.

20days louise can read300 pg

step-by-step explanation:

1 day 15 pg 300: 15= 20

x day 300 pg