SOLUTION: Applications of Polynomial Multiplication or​ Division The trowel shown is in the shape of an isosceles triangle.Find the polynomial that represents its height if the area of t

Algebra ->  Test -> SOLUTION: Applications of Polynomial Multiplication or​ Division The trowel shown is in the shape of an isosceles triangle.Find the polynomial that represents its height if the area of t      Log On


   

Question 1136981: Applications of Polynomial Multiplication or​ Division
The trowel shown is in the shape of an isosceles triangle.Find the polynomial that represents its height if the area of the trowel is represented by the polynomial 6+18t+t^2+3t^3 square inches.
The height is blank but the base is t^2+6 that what the picture shows.
The height is ____ in.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
area=6%2B18t%2Bt%5E2%2B3t%5E3
the base is t%5E2%2B6
height=?
area=%28b%2Ah%29%2F2
h=%282%2Aarea%29%2Fb
h=%286%2B18t%2Bt%5E2%2B3t%5E3%29%2F%28t%5E2%2B6%29.......factor numerator
h=%28%28t%5E2%2B6%29%2B%283t%5E3%2B18t%29%29%2F%28t%5E2%2B6%29
h=%28%28t%5E2%2B6%29%2B3t%28t%5E2%2B6%29%29%2F%28t%5E2%2B6%29
h=%28%283t%2B1%29%28t%5E2%2B6%29%29%2F%28t%5E2%2B6%29...simplify
h=%28%283t%2B1%29cross%28%28t%5E2%2B6%29%29%29%2Fcross%28%28t%5E2%2B6%29%29
h=3t%2B1

The height is 3t%2B1 in.