Graded Assignment Unit Test, Part 2: Polynomials
1.What is the product of 1/2x-1/4 and 5x^2-2x+6? Write your answer in standard form. 2.(b) Is the product of 1/2x_1/4 and 5x^2-2x+6 equal to the product of 1/4-1/2 and 5x^2-2x+6? Explain your answer.

Step-by-step explanation:

In multiplying, we would apply the distributive property by multiplying each term in one bracket by each term in the other bracket.

1) the product of

(x/2 - 1/4)(5x²-2x + 6)

= (x/2×5x²) - (2x × x/2) + (6 × x/2) - (1/4×5x²) + (2x × 1/4) - (1/4 × 6)

= 5x²/2 - 2x²/2 + 3x - 5x²/4 + x/2 - 3/2

= 5x²/2 - 2x²/2 - 5x²/4 + 3x + x/2 - 3/2

= (10x² - 4x² - 5x²)/4 + (6x + x)/2 - 3/2

= x²/4 + 7x/2 - 3/2

2)the product of

(1/4 - 1/2)(5x²-2x + 6)

= - 1/4(5x²-2x + 6)

= (- 1/4 × 5x²) + (1/4 × 2x) - (1/4 × 6)

= - 5x²/4 + x/2 - 3/2

The products are not the same.

V=19.9*(0.9144m)^3=15,2146416738816 m^3

On their farm, Adam’s family maintains a storage that can hold 18.0 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3. Round your answer to the nearest hundredth. Do not type the units in the space below.  

Step-by-step explanation:  

1 yard =0.9144 m  

We will take the 18.0 cubic yards, cross multiply with 0.9144 and then divide the result by one to get  

13.76m3