Multiplying Polynomials Warmup

Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

Answer explanation

The correct answer choice is -2x^2, -2x, -2x, -2 as it matches the terms listed in the box in the correct order.

Which of the following could be the correct set up for the Box Method when multiply (x + 3) (2x - 4) _{(click on the question to see the image in the background...yes we usually use the right side)}

• A

• B

• C

• D

Answer explanation

The correct set up for the Box Method is to create a box with (x + 3) on the top and (2x - 4) on the side. Choice B is the correct set up for multiplying the given expressions.

Write the expanded (general) form of the product (x+3)(x+6).

• x²+18x+9

• x²+9x+18

• x²+18x+18

Answer explanation

To find the expanded form of (x+3)(x+6), use the distributive property. Multiply each term in the first expression by each term in the second expression: x*x + x*6 + 3*x + 3*6. Simplify to get x^2 + 9x + 18.

Select the expanded form of the expression:

(x²) (x³)

• x²³

• x⁵

• x⁶

• x⁸

Answer explanation

To expand (x^2)(x^3), add the exponents: x^(2+3) = x^5. Therefore, the correct choice is x^5.

(5x + 2)(x² - 3x + 6)

Mathematical Equivalence

ON

Multiply: (p − 8)²
 

• p ² − 16p − 64 

• p ² + 16p + 64 

• p ² − 16p − 8

• p ² − 16p + 64 

Answer explanation

To multiply (p − 8)², use the formula (a − b)² = a² − 2ab + b². Here, a = p and b = 8. Thus, (p − 8)² = p² − 2(8)p + 8² = p² − 16p + 64. The correct answer is p² − 16p + 64.

• 2x²+5x

• x²+6x

• x²-5x

• x²+5x

• 8w²+40w

• 9w²+40w

• 8w²+13w

• 8w+40w

• 9x²+36x+9

• 9x²-13x+9

• 9x²-36x-9

• 9x²-36x+9

• 3k³+21k²

• 4k³+21k²

• 3k³+21k

• 3k³+21k