How does factor growth affect international trade and welfare of trading countries? Production: Labor and capital growth may increase the output of both the exportable and the importable by the same rate. This kind of growth is called neutral growth.
In the context of the HeckscherâOhlin model of international trade, open trade between two regions often leads to changes in relative factor supplies between the regions. This can lead to an adjustment in the quantities and types of outputs between
Raise your words, not voice. It is rain that grows flowers, not thunder. Rumi
Idea Transcript
Rational Zero/Root Theorem The Rational Zero Theorem helps find all possible rational zeros (x-intercepts) of a function. If f(x) is a polynomial function with integer coefficients, then all possible rational zeros of f(x) are written in the form
p all factors of the constant term q all factors of the leading coefficient Example: List all possible rational zeros of each function. 1. f(x) = 2x4 – 3x3 + x2 – 14x + 6 2. f(x) = x3 + 5x2 – 10x – 18
Finding zeros (x-intercepts) of a polynomial function 1. Find one of the rational zeros using Rational Zero Theorem and Synthetic Substitution/Division. (Guess and Check!) 2. Find the remaining zeros by using synthetic substitution/division again or use any method (factor, complete the square, quadratic formula, etc.) to solve the remaining polynomial equation. Example: Find all real zeros of the following functions. 1. f(x) = x3 – 7x2 + 10x + 6 2. f(x) = 2x4 – 13x2 + 8x2 – 13x + 6