Problema Solution
The area of a rectangle is given by the expression 2x^4+8x^3-3x^2
20x-5. If the width of the recatangle is given by the expression 2x^2-5,
then find the expression for the length of the rectangle.
Answer provided by our tutors
the area of a rectangle is calculated by the formula
A = w*l, where w is the width and l is the length of the rectangle
A = 2x^4+8x^3-3x^2-20x-5
w = 2x^2-5
A = l*w => l = A/w
we will find the length by dividing the polynomial 2x^4+8x^3-3x^2-20x-5 with 2x^2-5
l = x^2 + 4x + 1