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.

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.