Polynomials: Add, Subtract, Multiply

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5 Questions

What is a polynomial similar to?

A math sentence with numbers and letters

What is each term in a polynomial called?

A monomial

What is the first step in solving a polynomial equation?

Write it in standard form

What can be done to all polynomial equations?

They cannot be solved by factoring

What is the result of solving a polynomial equation?

Multiple solutions

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.

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

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