Question

A rectangle has a height of 5y^3 and a width of 3y^3 - 8y^2 + 2y Express the area of the rectangle The answer should be a polynomial in standard form .

Answer 1

The area of the rectangle is 15y^6 -40y^5 + 10y^4

Explanation:

In this question, given the width and length of a rectangle in polynomial form, we are asked to express the area of the rectangle in terms of the polynomials.

Generally, the area of a rectangle A is mathematically equal to Length * width

Using the terms in the question, our area A = 5y^3 [3y^3 -8y^2 +2y]

Opening this bracket we have;

15y^6 -40y^5 + 10y^4