Question

Solve the application using polynomials

Answer 1

volume of rectangular prism: length*width*height

length: x+1

width: x-2

height: x+1

a) V= (x+1)(x-2)(x+1)

= (x²-2x+x-2)(x+1)

= (x²-x-2)+(x+1)

= (x³+x²-x²-x-2x-2)

= x³-3x-2

b) if x= 5,

V= 5³-3(5)-2

= 125-15-2

= 108cm³