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Channel: Arithmetic w/ Polynomials & Rational Expressions | Open Middle®
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Factoring Polynomials

Directions: What numbers go in the blanks to make the equation true? Hint Hint How would using a visual representation like algebra tiles or an array method make this easier to factor? Answer Answer...

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Highest Degree Polynomials

Directions: Make a polynomial of the highest degree by using the whole numbers 1 through 9 at most one time each. Hint Hint Where should you put the 9? Answer Answer One binomial must have an 8 and 9...

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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? Hint Hint 1) Can c be positive? Negative? Zero? 2) Try multiplying the binomials. Do you see any...

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Dividing Rational Expressions

Directions:  Determine values to place in the missing spots to solve the equation below. You may use integer values: HintHint Try factoring to rewrite your expressions. AnswerAnswer one solution has...

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Writing Equivalent Polynomial Expressions

Directions: Use the digits 1-9, at most one time each, to create a true statement. HintHint Use what you know about addition/subtraction facts. ex. 3+4 = 2+5 AnswerAnswer There are many answers...

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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. Hint How might choosing digits keep or eliminate terms?...

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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...

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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. Hint Is there a way to find the remainder without using long...

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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. Hint (The expansion must...

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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. Hint How could you rework this into a multiplication...

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