 # Arithmetic w/ Polynomials & Rational Expressions

## Binomial Expansion

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the largest or smallest possible coefficient of the third term in the expansion. Source: Dana Harrington

## Polynomial Division Given a Remainder

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to so that the remainder when dividing the two is 14. Source: Kyle Prince

Directions: Using the integers -9 to 9 at most one time each, place an integer in each box to make two expressions: one that has three or more terms and one that has fewer than three terms. You may reuse all the integers for each expression. Source: Robert Kaplinsky in Open Middle Math

Directions: Using the integers -9 to 9 at most one time each, place an integer in each box to create a polynomial with the least amount of terms. Source: Robert Kaplinsky in Open Middle Math

## Writing Equivalent Polynomial Expressions

Directions: Use the digits 1-9, at most one time each, to create a true statement. Source: Andrew Stadel

## Dividing Rational Expressions

Directions: Determine values to place in the missing spots to solve the equation below. You may use integer values: Source: Sandra Crawford

Directions: What are the maximum and minimum values for c if x^2 + 12x + 32 = (x+a) (x+b) + c? Source: Jedidiah Butler