Practice Objectives
- Demonstrate the ability to divide a polynomial by a monomial
Practice Dividing a Polynomial by a Monomial
Instructions:
Answer 7/10 questions correctly to pass.
Find each quotient. All answers must be simplified.
Please read the items below for proper formatting.
- Rules for Exponents:
- Exponents can only be used with variables (e.g., x^2, y^3).
- Exponents must be single-digit positive integers (1, 2, 3, ..., 9). An exponent of zero is not allowed.
- Use the "^" key to raise a variable to a single-digit exponent (e.g., x^2, y^3).
- Rules for Numbers:
- Coefficients (numbers in front of variables) must be placed directly in front of the variables (e.g., 2x, -3y).
- Examples:
- 1x or x (implicitly 1)
- -1y or -y (implicitly -1)
- 2x
- 2x^2
- 2x^3y^4
- Integer answers should be written with a denominator of 1 or -1 (e.g., 5/1, 7/-1).
- Rules for Signs:
- A negative fraction results from opposite signs in the numerator and denominator (e.g., (-2)/3 or 2/(-3)).
- A positive fraction results from the same signs in the numerator and denominator (e.g., (-2)/(-3)).
- Simplification:
- All fractions must be simplified. Simplified fractions should have no common factors other than 1 or -1 in the numerator and denominator. For example, 6x/2x should be simplified to 3, as the common factor of '2x' is cancelled out.
Problem:
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Dividing a Polynomial by a Monomial:
- Divide each term in the polynomial by the monomial
- Write each quotient in lowest terms
Step-by-Step:
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