Polynomial Operations Flashcards
Grade 10 · Math · Flashcards
Key terms and rules for working with polynomials.
Flashcards
- Monomial
- A polynomial with exactly one term (e.g., 5x³)
- Binomial
- A polynomial with exactly two terms (e.g., x² - 4)
- Trinomial
- A polynomial with exactly three terms (e.g., x² + 3x - 2)
- Degree of a polynomial
- The highest power (exponent) of the variable in the polynomial
- Leading coefficient
- The coefficient of the term with the highest degree
- Like terms
- Terms with identical variable parts (same variable, same exponent)
- FOIL
- Method for binomial multiplication: First, Outer, Inner, Last
- Remainder Theorem
- When p(x) ÷ (x-c), the remainder = p(c)
- Factor Theorem
- If p(c) = 0, then (x - c) is a factor of p(x)
- Standard form of a polynomial
- Terms written in descending order by degree: aₙxⁿ + ... + a₁x + a₀
- Adding polynomials
- Combine like terms — add coefficients of terms with matching variable parts
- Subtracting polynomials
- Distribute the negative sign to every term in the second polynomial, then combine like terms
- Degree of a product
- Equal to the sum of the degrees of the two polynomials being multiplied
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