Arithmetic w/ Polynomials & Rational Expressions

Polynomial Division

Directions: Using the digits 0 to 9 (at most one time each), place a digit in each box to create a division problem with a solution of 2x + 5. Source: Andrew King

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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

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Adding Polynomials 1

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

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Adding Polynomials 2

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

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Quadratic Formula

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

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Highest Degree Polynomials

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make a polynomial of the highest degree. Source: Robert Kaplinsky

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