FOIL and Factoring GCF

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

How do you apply the FOIL method to (a + b)(c + d)?

Back

Multiply the first terms (a*c), the outside terms (a*d), the inside terms (b*c), and the last terms (b*d), then combine like terms.

Front

What is the result of simplifying the expression 8(4b - 5)?

Back

The result is 32b - 40.

Front

What is the expanded form of (x - 6)²?

Back

The expanded form is x² - 12x + 36.

Front

How do you factor the expression 6x² + 17x + 12?

Back

To factor, find two numbers that multiply to (6*12=72) and add to 17. The factors are 8 and 9, so the expression can be factored as (2x + 3)(3x + 4).

Front

What is the GCF (Greatest Common Factor) of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

How do you factor out the GCF from the expression 12x² + 16x?

Back

Factor out the GCF, which is 4x, to get 4x(3x + 4).

Front

What is the result of multiplying (2x + 3)(3x + 4)?

Back

The result is 6x² + 17x + 12.

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.

Front

What is the formula for the square of a binomial (a - b)²?

Back

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