Factoring and FOIL

Front

What is factoring in algebra?

Back

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

Front

What does FOIL stand for in algebra?

Back

FOIL stands for First, Outside, Inside, Last, which is a method used to multiply two binomials.

Front

Multiply (x + 2)(x + 3) using FOIL.

Back

x^2 + 5x + 6

Front

What is the result of multiplying (a + b)(a - b)?

Back

a^2 - b^2 (Difference of squares)

Front

Back

(x + 3)(x - 3) (Difference of squares)

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients of the quadratic expression and look for two numbers that multiply to the constant term and add to the linear coefficient.

Front

Multiply (2x + 5)(3x + 1) using FOIL.

Back

6x^2 + 17x + 5

Front

Back

(n - 6)(n - 14)

Front

What is the product of 2x(-3x + 4)?

Back

-6x^2 + 8x

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality and check if the statement is true.