Practice Objectives
- Demonstrate an understanding of the product rule for exponents
- Demonstrate the ability to find the product of a monomial and a polynomial
- Demonstrate the ability to find the product of two or more polynomials
Practice Multiplying Polynomials
Instructions:
Answer 7/10 questions correctly to pass.
Find each product. Write your answer in standard form.
Note: For single-variable polynomials, standard form means arranging terms in descending powers of the variable.
Correct Example: $$5x^2 + 2x - 1 \, ✅$$
Wrong Example: $$2x - 1 + 5x^2 \, ❌$$
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 an 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
Problem:
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Multiplying Polynomials:
- Multiply each term from the first polynomial by each term of the second polynomial
- Combine all like terms to simplify the expression
- If there are more than two polynomials, multiply the product of the first two by the next polynomial, repeating the process as needed
- Write your answer in standard form
- For single-variable polynomials, standard form means arranging terms in descending powers of the variable
Step-by-Step:
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