Question 1

Question

A)
Use the table to answer the question.

4x3 4x2
24x4 12x3 6x
- 36x3 -18x2 -9

A table is shown with 2 rows and 2 columns. The horizontal side is labeled 4 x cubed and 2 x squared while the vertical side is labeled 6 x and negative 9.

Find the product of (4x3+2x2)(6x−9). Provide your answer in descending order of exponents.

(1 point)
(4x3+2x2)(6x−9)=''blank''

Question 2
A)Complete the table to find the product of (5y2−6y)(7y7−y3). Provide your answer in descending order of exponents.(2 points)

5y2 -6y
blank blank 7y7
blank blank -y3
(5y2-6y) (7y7-y3) = ''blank''

Question 3
A)Use the Distributive Property to multiply the following polynomials: 3x2(2x4−15x).(1 point)

3x2(2x4−15x)= ''blank''

Question 4
A)Find the product of (3x2−8)(4x2+7). Provide your answer in descending order of exponents.(1 point)

(3x2−8)(4x2+7)= ''blank''

Question 5
A)What is the product of the following polynomials: (−3x5−4x4)(7x2−2x+6)?(1 point)

(−3x5−4x4)(7x2−2x+6)= ''blank''

just answer the blank spots.

Answer 1

Here are the answers for the blank spots in each question:

Question 1 (4x³ + 2x²)(6x − 9) = 24x⁴ - 36x³ + 12x² - 18x²
Simplifying further: = 24x⁴ - 36x³ - 6x²

Question 2 (5y² − 6y)(7y⁷ − y³) = 35y⁹ - 5y⁵ - 42y⁸ + 6y⁴
Final answer (combining terms where possible): = 35y⁹ - 42y⁸ - 5y⁵ + 6y⁴

Question 3 3x²(2x⁴ − 15x) = 6x⁶ - 45x³

Question 4 (3x² − 8)(4x² + 7) = 12x⁴ + 21x² - 32

Question 5 (−3x⁵ − 4x⁴)(7x² − 2x + 6) = -21x⁷ + 6x⁵ + 8x⁶ - 12x⁴ - 24x⁴
Final answer (combining terms where possible): = -21x⁷ + 8x⁶ - 18x⁴ + 6x⁵

Feel free to ask if you need any further clarification!