Multiplication of Polynomials

Multiplication of Polynomials

Integrated Math III

​Distributive Property

• multiplying the sum of two or more addends by a number

• ​

• ​When you see a variable or a number outside the parenthesis you multiply

Multiple Choice

What answer do you get when you multiply (x times x) ?

• x

• 2x

• x²

Multiple Choice

Solve. (x+2) (x+3)

• x² + 5x + 6

• x² + x + 6

• x² + 6x + 6

• x² + 5x + 5

Multiple Choice

What is the product of 5x and (-3x² - 4x + 5) ?

Hint: Remember ADD the exponents when multiplying.

• -15x³ - 20x² + 25x

• 15x³ + 20x² + 25x

• -15x² - 20x - 25

• 15x² + 20x - 25

​FOIL Method

​First

​

​Outer

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​Inner

​

​Last

Multiple Choice

Multiply (x + 5)(x + 4)

• x^2 + 9x + 20

• x^2 + 20x + 9

• x^2 + x + 20

Multiple Choice

Multiply (2x + 3)(3x + 4)

• 6x² + 17x + 7

• 6x² + 17x + 12

• 6x² + 1x + 12

Multiple Choice

Multiply  $$\left(3x^2\ +\ 4x\right)\left(2x\ +\ 4\right)$$  

• $$6x^3\ +\ 20x^2\ +\ 16x$$  

• $$6x^2\ +\ 20x\ +\ 16$$  

• $$6x^3\ +\ 18x^2\ +\ 8x$$  

​Box Method