Polynomials: Add, Subtract, Multiply
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Questions and Answers

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?

  • A polynomial
  • A binomial
  • A monomial (correct)
  • A trinomial
  • 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?

    <p>They cannot be solved by factoring</p> Signup and view all the answers

    What is the result of solving a polynomial equation?

    <p>Multiple solutions</p> Signup and view all the answers

    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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    Description

    Learn how to add, subtract, and multiply polynomials with terms and coefficients. Practice solving polynomial equations in standard form.

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