Unit 4 Review

Front

What is the formula for multiplying a binomial by itself?

Back

The formula is (a + b)² = a² + 2ab + b².

Front

What is the difference of squares formula?

Back

The difference of squares formula is a² - b² = (a - b)(a + b).

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor the numerator and denominator and cancel any common factors.

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

What is the formula for factoring a quadratic expression of the form x² + bx + c?

Back

The formula is (x + p)(x + q) where p and q are the roots of the equation.

Front

What is the significance of restrictions in rational expressions?

Back

Restrictions indicate values that cannot be used in the expression, typically where the denominator equals zero.

Front

How do you perform polynomial long division?

Back

Polynomial long division involves dividing the leading term of the numerator by the leading term of the denominator, multiplying, and subtracting.

Front

What is the result of subtracting two rational expressions?

Back

To subtract two rational expressions, find a common denominator, convert each expression, and then subtract the numerators.

Front

What is the formula for the sum of two cubes?

Back

The formula is a³ + b³ = (a + b)(a² - ab + b²).

Front

What is the formula for the product of two binomials?

Back

The formula is (a + b)(c + d) = ac + ad + bc + bd.