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Questions and Answers
What is a polynomial similar to?
What is a polynomial similar to?
- A math phrase with terms that have only numbers
- A math sentence with numbers and letters (correct)
- A math phrase with terms that have only letters
- A math equation with only one variable
What is each term in a polynomial called?
What is each term in a polynomial called?
- A polynomial
- A binomial
- A monomial (correct)
- A trinomial
What is the first step in solving a polynomial equation?
What is the first step in solving a polynomial equation?
- Factor the equation
- Check if it can be factored
- Set each variable factor equal to zero
- Write it in standard form (correct)
What can be done to all polynomial equations?
What can be done to all polynomial equations?
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What is the result of solving a polynomial equation?
What is the result of solving a polynomial equation?
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Study Notes
Polynomials
- A polynomial is a math phrase consisting of terms with numbers and letters.
- Each term in a polynomial is called a monomial.
- Monomials can be combined by adding or subtracting them.
Adding and Subtracting Polynomials
- To add or subtract polynomials, combine like terms.
- Example: (6k − 7k²) + (4k² + 6) = −3k² + 6k + 6
Solving Polynomial Equations
- Write the equation in standard form.
- Set the equation equal to zero.
- Factor the equation, if possible.
- Set each variable factor equal to zero.
- Solve the resulting equations to find the solutions to the original equation.
- Not all polynomial equations can be solved by factoring.
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