Factoring when a=1

Front

What is the definition of factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What does it mean when a=1 in a quadratic equation?

Back

When a=1 in a quadratic equation of the form ax^2 + bx + c, it simplifies the equation to x^2 + bx + c, making it easier to factor.

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Front

What is the result of applying the FOIL method to (x-3)(x-3)?

Back

Front

How can you express (x-3)(x+3) using the difference of squares?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

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

Back

The coefficients a, b, and c determine the shape and position of the parabola represented by the quadratic equation.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as (x-3) or (x+5).

Front

What is the process of expanding a binomial?

Back

Expanding a binomial involves multiplying it out to express it as a polynomial, using methods like FOIL.

Front

What is the formula for the difference of squares?

Back