FOIL Method/Area Model - Multiplying Binomials

Front

What does FOIL stand for in the context of multiplying binomials?

Back

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

Front

What is the area model for multiplying binomials?

Back

The area model involves drawing a rectangle divided into sections that represent the products of the terms in the binomials.

Front

Multiply the binomials: (x + 2)(x + 3)

Back

x² + 5x + 6

Front

Multiply the binomials: (x - 5)(x + 1)

Back

x² - 4x - 5

Front

What is the perimeter of a triangle with sides represented by the expression 5x + 4y + 3?

Back

The perimeter is the sum of the lengths of all sides, represented by the expression 5x + 4y + 3.

Front

What is the Greatest Common Factor (GCF) of the expression 5x² + 30x⁴y + 25x⁸y?

Back

The GCF is 5x².

Front

Factor the expression: 5x²(1 + 6x²y + 5x⁶y)

Back

The expression is already factored with 5x² as the GCF.

Front

What is the result of simplifying (7x⁴y³z⁻³qr)⁰?

Back

1 (Any non-zero expression raised to the power of 0 is 1.)

Front

What is the product of (x + 2)(x + 3) using the FOIL method?

Back

First: x*x = x²; Outside: x*3 = 3x; Inside: 2*x = 2x; Last: 2*3 = 6. Combine: x² + 5x + 6.

Front

What is the product of (x - 5)(x + 1) using the FOIL method?

Back

First: x*x = x²; Outside: x*1 = x; Inside: -5*x = -5x; Last: -5*1 = -5. Combine: x² - 4x - 5.