Question

Write a function that describes a relationship between two quantities. Two polynomial functions are given. d(x) = 2x3 - 2 +12 c(y) = 5y? - 9 Find 3d(x) • c(y) and write an equivalent expression.

Answer 1

The resulting equivalent expression is (6x^3 - 6x^2 +36)•(5y^2-9)

Polynomial functions

Given the functions:

d(x) = 2x^3 - 2x^2 +12 c(y) = 5y^2 - 9

We are to find the expression 3d(x) • c(y)

3d(x) = 3(2x^3 - 2x^2 +12)

3d(x) = 6x^3 - 6x^2 +36

c(y) = 5y^2 - 9

Substitute into the expression:

3d(x) • c(y) = 6x^3 - 6x^2 +36(5y^2-9)

Hence the resulting equivalent expression is (6x^3 - 6x^2 +36)•(5y^2-9)

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