Hon Alg 2: Ch.4 Review

Front

What is the degree and leading coefficient of a polynomial with an even degree and a negative leading coefficient?

Back

Degree: even, Leading Coefficient: negative.

Front

What are the coefficients of the 5th row in Pascal's Triangle?

Back

1; 5; 10; 10; 5; 1.

Front

What is the 2nd term in the expansion of (2b + 1)³?

Back

12b².

Front

How do you factor x³ + 1?

Back

(x + 1)(x² - x + 1).

Front

Which row of Pascal's Triangle corresponds to the expansion of (x + y)³?

Back

1; 3; 3; 1.

Front

What is the definition of a polynomial?

Back

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

Front

What is the Binomial Theorem?

Back

The Binomial Theorem describes the algebraic expansion of powers of a binomial, expressed as (a + b)ⁿ = Σ (n choose k) a^(n-k) b^k.

Front

What does 'leading coefficient' mean in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the formula for finding the coefficients in Pascal's Triangle?

Back

The coefficients in Pascal's Triangle are given by the binomial coefficients, calculated as n choose k = n! / (k!(n-k)!).

Front

How do you expand (a + b)²?

Back

(a + b)² = a² + 2ab + b².