Divide the area of the room by the area covered by one gallon of paint.
F
Practice makes perfect
We know that the area of Miki's room is x^2+8x+12 square feet, and a gallon of paint is enough to cover an area of x^2+6x+8 square feet. We want to choose the expression that gives the number of gallons of paint Miki will need to buy to paint her room. To do so, we will divide the area of Miki's room by the area covered by one gallon of paint.
Number of Gallons &= Area of the Room/Area Covered by a Gallon
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Number of Gallons &= x^2+8x+12/x^2+6x+8
To simplify this expression, we will factor each of the quadratic expressions as much as possible and then cancel any common factors.