Review: Multiplying polynomials

Review: Multiplying polynomials

Standard Form

• Polynomial answers need to be written in the following form:

• Highest exponent -> Lowest exponent

• If there is more than one variable, they need to be in alphabetical order

• Constants (numbers w/ no variable) go last

Multiplying Polynomials

• Distribute ALL terms! (draw arrows so you don't forget)

• Remember to ADD your exponents when necessary

• Combine any like terms and write your answer in standard form

Multiple Choice

(x + 7)(x + 9)

• x² + 63x + 16
• x² + 16x + 63
• x² + 79
• x² + 16x + 2

Multiple Choice

(x - 4)(x - 6)

• x² -10x + 24
• x² - 10x - 24
• x² +10x + 24
• x² + 10x - 24

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Multiple Choice

Multiply the following together:

(2x + 3)(x² + 4x + 1)

• 2x³ + 8x² +2x

• 3x² + 12x +3

• 2x³ +11x² +14x +3

• 2x³ + 12x +3