Answer:

Step-by-step explanation:
Factorize:

<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:

Therefore, (x - 1) is a factor.
As the polynomial is cubic:

Expanding the brackets:


Comparing coefficients with the original polynomial:



Therefore:

Cannot be factored any further.
Answer:$20250
Step-by-step explanation:
6.5% of 30000
6.5/100 x 30000
(6.5 x 30000)/100
195000/100=1950
First year depreciation 30000-1950=28050
Second year=28050-1950=26100
Third year=26100-1950=24150
Fourth year=24150-1950=22200
Fifth year=22200-1950=20250
Answer: 8x³ + 12x² - 16x - 16
<u>Step-by-step explanation:</u>
(4x² - 2x - 4)(2x + 4)
= (2x + 4)(4x² - 2x - 4)
= 2x(4x² - 2x - 4) + 4(4x² - 2x - 4)
= 8x³ - 4x² - 8x + 16x² - 8x - 16
= 8x³ + (-4x² + 16x²) + (-8x - 8x) - 16
= 8x³ + 12x² - 16x - 16
If we divide the area we have to cover by the area of a piece, we will get the number of pieces needed:
