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**Operations on Rational Expressions Review**

Test Tomorrow!!!

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**A. Radical C. Binomial B. Relational D. Rational**

A _____________ expression is an expression that can be written as a ratio of two polynomials. A. Radical C. Binomial B. Relational D. Rational

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**Simplifying a Rational Expression**

Finding the excluded values. (What values of x make the rational expression undefined?) A rational expression is undefined when the value of x causes the denominator to equal zero. The expression is undefined when x = 3 Set the denominator equal to zero and solve for x

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**Find the excluded value of the expression:**

A. (x-3)(x+5) C. (x+5)(x-3) B. X = 3, -5 D. X = -3, 5

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**Simplify the expression by dividing out the common monomials**

Factor numerator and denominator completely, then divide out common factors.

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**Simplify the expression:**

A. C. B. D.

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**Simplify the expression:**

A. C. B. D.

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**Multiply rational expressions involving polynomials:**

Multiply numerators and denominators Factor if possible Divide out common factors

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Find the product: A. C. B. D.

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**Find the Quotient: Change the division to multiplication**

Flip the second fraction Cross simplify if possible Multiply numerators and denominators

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Find the quotient: A. C. B. D.

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**How can you find the least common multiple of polynomials?**

Use common factors only once. Step One: Write the factors of each expression Step Two: Find Common Factors Step Three: Multiply

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Find the LCM of 9x and 4x A. C. B. D.

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**Add and subtract – Same denominator**

Add numerators Factor and divide out common factors Simplify

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**Find the sum or difference:**

B. D. A. C.

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**Find the sum or difference:**

B. D. A. C.

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**Add expressions with different denominators**

Rewrite fraction using LCD Simplify numerators and denominators Add fractions

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**Find the sum or difference:**

A. C. B. D.

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**Find the sum or difference:**

A. C. B. D.

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Operations on Rational Expressions. Rational expressions are fractions in which the numerator and denominator are polynomials and the denominator does.

Operations on Rational Expressions. Rational expressions are fractions in which the numerator and denominator are polynomials and the denominator does.

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