Multiply Polynomials

Multiply Polynomials

​

Multiple Choice

Multiply

$$2x\left(3x^2+4x\ -6\right)$$  

• $$6x^2+8x-12$$  

• $$14x^2-12$$  

• $$6x^3+8x^2-12$$  

• $$6x^3+8x^2-12x$$  

Multiple Choice

Multiply  $$-3x^4\left(5xy-2xy^3\right)$$  

• $$-15x^4y\ +6x^4y^3$$  

• $$-15x^5y\ +6x^5y^3$$  

• $$-15x^5y\ -6x^5y^3$$  

• $$-15x^4y\ -6x^4y^3$$  

Write down your answer to this question.

Be prepared to record your response on the next slide.

Multiple Choice

Record your answer to the last question here

• A

• B

• C

• D

Multiple Choice

Find the area of a triangle with a base of 4x and a height of 2x-8 Remember:  

$$A=\frac{1}{2}bh$$  

• $$8x^2-32$$  

• $$8x^2-32x$$  

• $$6x^2-32x$$  

• $$4x^2-16x$$

Fill in the Blanks

What is the sum of the coefficients?

Multiplying Polynomials

Remember that FOIL only applies to the multiplication of binomials. One strategy for multiplying larger polynomials is to use a table with rows and columns to organize the multiplication. See next slide.

Multiply each row heading by each column heading to fill in the cells and the sum of all cells is the product.

Think about it...

Find the area of the largest outer rectangle in different ways. Be prepared to unmute and discuss.

Try this!

Write down your answer (the letter choice) and get ready to submit your answer on the next slide.

Multiple Choice

What is the area of the largest (outer) rectangle?

• A

• B

• C

• D

Multiple Choice

Multiply (x+3) (7x+2)

• 7x² + 27x + 6

• 7x² + 23x + 6

• 7x² + 21x + 6

• 7x² + 13x + 6

Multiple Choice

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

• -6x² - 17x - 12

• -6x² + 17x - 12

• -6x² - 17x + 12

• -6x² + 17x + 12

Multiple Choice

Multiply (x - 2) (5x² + 3x - 1)

• 5x³ - 13x² - 7x + 2

• 5x³ - 10x² + 7x + 2

• 5x³ - 7x² - 7x + 2

• 5x³ + 13x² + 7x + 2

Multiple Choice

Multiply (x² - 5) (x² + 3)

• x² - 2x - 15

• x⁴ - 2x² - 15

• x² - 2x + 15

• x⁴ - x - 15

Multiple Choice

Find the area of a square with a side of x² - 2x

• x⁴ - 4x²

• x⁴ + 4x²

• x⁴ - 2x³ + 4x²

• x⁴ - 4x³ + 4x²

Write the letter of your answer down

on paper to be submitted on the next slide.

Multiple Choice

What is the area of the shaded region?

• A

• B

• C

• D

Write the letter of your answer down

on paper to be submitted on the next slide.

Multiple Choice

What is the area of the shaded region?

• A

• B

• C

• D