Damion and Kylie entered the marshmallow treat baking contest. They wanted to bake the biggest treat and beat the school record. They knew the school record was 250 in^3, so they wanted to make theirs 300 in^3. When determining the dimensions, they agreed the length would be x, the height would be 4 inches more than the length and the width would be 1 inch shorter.
What was the dimensions of their marshmallow treat?
1. Draw the rectangle. Label the dimensions.
2. V = L*W*H substitute in the values for the dimensions and the volume.
3. Multiply the factors and then set the equation equal to zero.
4. Using the Fundamental Theorem of Algebra, Rational Root Theorem and the Factor Theorem, factor the polynomial. Use Descartes Rule of signs, to eliminate possible roots.
5. Write the dimensions and check that they are accurate.
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