Polynomial Flashcard

Front

Simplify the expression: (a^4 + 2) – (a^3 + 2a^2) + (4a^3 – 5a^2)

Back

a^4 + 3a^3 – 7a^2 + 2

Front

Find the product: (–3m – 6n)(6m + 6n)

Back

–18m^2 – 54mn – 36n^2

Front

Factor completely: (a^2 - 4a - 21)

Back

(a + 3)(a - 7)

Front

Find the product: 5(n^2 + 3n + 6)

Back

5n^2 + 15n + 30

Front

Solve: (2x + 8)^2

Back

4x^2 + 32x + 64

Front

Definition: Polynomial

Back

A mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

Definition: Degree of a polynomial

Back

The highest power of the variable in the polynomial.

Front

Definition: Coefficient

Back

A numerical factor in a term of a polynomial.

Front

Definition: Like terms

Back

Terms that have the same variable raised to the same power.

Front

Definition: Factoring a polynomial

Back

The process of breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.