Question

Two polynomial functions are given:

d(x)=2x 3 +13x 2+213
c(y)=−9y+54

3d(x)⋅c(y) and write an equivalent expression.

a) 6x 3−36xy+54x 2−243y+639

b)6x3+54x 2−243y+639

c) 6x 3−36xy+54x 2−243y

d) 6x 3+36xy+54x 2−243y+639

Answer 1

To find the equivalent expression for d(x) ⋅ c(y), we need to multiply the two polynomials and combine like terms. The equivalent expression is 6x^3 - 36xy + 54x^2 - 243y + 639.

Step-by-step explanation:

The given polynomial functions are d(x) = 2x3 + 13x2 + 213 and c(y) = -9y + 543. To find the equivalent expression for d(x) ⋅ c(y), we need to multiply the two polynomials.

Using the distributive property, we multiply each term of d(x) with each term of c(y) and then combine like terms. The equivalent expression is:

6x3 - 36xy + 54x2 - 243y + 639