Flashcard 5.1-5.4 Review

Front

What is the result of multiplying the binomials (4x + 1) and (5x - 2)?

Back

20x² - 3x - 2

Front

How do you factor the polynomial x³ + 7x² - 2x - 14 by grouping?

Back

(x² - 2)(x + 7)

Front

What is the product of (5x + 2) and (x² - 3x + 6)?

Back

5x³ - 13x² + 24x + 12

Front

What is the factored form of the polynomial 4p³ + 8p² + 3p + 6 using grouping?

Back

(4p² + 3)(p + 2)

Front

How do you factor the expression k⁴ + 7k² + 10?

Back

(k² + 2)(k² + 5)

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

What is the process of grouping in factoring?

Back

Grouping involves rearranging and grouping terms in a polynomial to factor it more easily.