Question

Help please! Picture included about solving polynomials!

Answer 1

With this problem, you should first look at the equation for the area of a trapezoid. That is A = (1/2)(B1 + B2)*H. We know what A, B1, and B2 are so you just need to solve for height. So, based on the equation:

`3x^(3) -16 x^(2) + 31x-20 = (1/2)(x+5+ x^(2) -5x)*h`
Next, you would have:

`6x^(3) -32x^(2) +62x-40=(x^(2)-4x+5)*h`
Next solve for h by dividing the polynomials like so:

`h = (6 x^(3)-32 x^(2) +62x-40)/( x^(2) -4x+5)`
Using long division you get:

`h = 6x-8`