Is (x-2) a factor of p(x) = x^3+2x^2-6x-4

Yes.

Step-by-step explanation:

By using Bezout's Theorem regarding polynomials, we can determine if 'x - 2' is a factor of the original P(x). The theorem states that if any polynomial P(X) is divided by x - a, where a - a real number. Then the remainder of the devision is precisely P(a). And if the remainder is 0, then that means x - a, or x - 2 in our case, is a factor of the riginal P(x).

P(2) =

Therefore x - 2 is a factor of P(x)

false

step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.

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.