Multiplying Polynomials

To multiply a monomial by a polynomial with more than one terms, we will make use of __________.

• Reflexive Property

• Distributive Property

• FOIL Method

• Transitive property

To multiply a binomial with another binomial, we will make use of _____________.

• Reflexive Property

• Distributive Property

• FOIL Method

• Transitive Property

Find the product of (2r) (9r²).

• 18r³

• 18r

• 11r³

• 11r

Find the product of (𝑥 ³) (𝑥 ⁵).

• x²

• x⁸

• 2x²

• 2x⁸

Classify by number of terms:

-2x² – x

• monomial

• binomial

• trinomial

• cannot be determined

Find the product of (3𝑥) (𝑥 ² − 5𝑥 + 7).

• 3𝑥 ² + 2𝑥 - 7

• 3𝑥 ² − 2𝑥 + 7

• 𝟑𝒙^𝟑 − 𝟏𝟓𝒙 ^𝟐 + 𝟐𝟏x

• 𝟑𝒙^𝟑 + 𝟏𝟓𝒙 ^𝟐 + 𝟐𝟏x

Which of the following is the result when (3𝑎 ²𝑏 ³ ) is multiplied to (4𝑎 ³𝑏 ² )?

• 7𝑎 ⁵𝑏 ⁵

• 7𝑎 ⁶𝑏 ⁶

• 12𝑎 ⁶𝑏 ⁶

• 12𝑎 ⁵𝑏 ⁵

.The length of the rectangle is 2x – 3 and its width is equal to x – 1. Find the area of the rectangle.

• x - 2

• 3x - 2

• 2x² – x + 3

• 2x² – 5x + 3

The product of 4𝑥 ²𝑦 ⁵ and a certain monomial is 28𝑥 ⁷𝑦 ⁹ 𝑧 ² .

What is the missing factor?

• 7𝑥 ⁵𝑦 ⁴

• 7𝑥 ⁹𝑦 ¹⁴𝑧 ²

• 7𝑥 ⁵𝑦 ⁴ 𝑧 ²

• 7𝑥 ⁵𝑦 ² 𝑧 ²

Which of the following describes the product of (𝑏 + 5) (𝑏 + 5)?

• a monomial

• a binomial

• a trinomial

• a multinomial