Mastering Multiplication of Polynomials with Distributive Property and FOIL

What property is used to multiply a monomial by a polynomial?

• Commutative property

• Associative property

• Identity property

• Distributive property

What is the result of 5 times (x + 6)?

• 5x^2 + 6

• 5x + 30

• 5x + 6

• 10x + 6

How do you multiply 2x by (5x + 8)?

• 10x + 16x

• 10x^2 + 16x

• 7x + 8

• 2x(5x) + 2x(8)

What is the product of -2x^2 and (7x^3 + 5x^2 - 12)?

• -14x^5 - 10x^4 + 24x^2

• -14x^5 + 10x^4 - 24

• 14x^5 - 10x^4 + 24x^2

• -14x^2 + 10x - 24

What does FOIL stand for?

• First, Outer, Inner, Last

• First, Open, Inner, Last

• Final, Outer, Inner, Last

• First, Outer, Inner, Linear

Using FOIL, what is the product of (x - 3)(x + 2)?

• x^2 + x - 6

• x^2 - 3x + 2

• x^2 + 5x - 6

• x^2 - x - 6

What is the first step in applying the FOIL method?

• Multiply the last terms

• Multiply the outer terms

• Multiply the inner terms

• Multiply the first terms

In the expression (3x + 2)(x - 1), what is the product of the outer terms?

• -3x

• -2x

• 3x

• 2x

After applying FOIL, what should you do next?

• Divide the terms

• Add the coefficients

• Subtract the exponents

• Simplify the expression

What is the result of (3x + 2)(x - 1) using the FOIL method?

• 3x^2 + 1x - 2

• 3x^2 - 1x - 2

• 3x^2 + x - 2

• 3x^2 - x - 2