12/02 Unit 12 LSAE 11/21

Front

What is the formula for the square of a binomial?

Back

The formula for the square of a binomial is: (a + b)² = a² + 2ab + b².

Front

What is the expanded form of (4p + 1)²?

Back

The expanded form of (4p + 1)² is 16p² + 8p + 1.

Front

What is the difference of squares formula?

Back

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

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 is the degree of the polynomial 5x^3 + 2x^2 - x + 7?

Back

The degree of the polynomial is 3, which is the highest exponent of the variable.

Front

What is the definition of a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves rewriting it as a product of its factors.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots of the quadratic equation.