Answer:
P(x)=(x-2)(x-4)(x+3)(x+6)
Step-by-step explanation:
Given: P(x)=x⁴+3x³-28x²-36x+144
It is a polynomial with degree 4.
It should maximum four factor.
Hit and trial error method.
Put x = 2 into P(x)
P(2)=2⁴+3×2³-28×2²-36×2+144
P(2) = 0
So, x-2 would be factor of P(x)
Now divide x⁴+3x³-28x²-36x+144 by x-2 to get another factors
Put x = 4
now divide 
by x-4
Now factor 
Complete factor of P(x)
P(x)=(x-2)(x-4)(x+3)(x+6)
since the polygon has 8 chambers the angle of one chamber = 360/8 = 45°
so the angle WOP = 45°
now drawing a imaginary line which seperates the triangleWOP into half
so the angle of imaginary line is 45/2 = 22.5
sin(theta) = opp/hyp
since WP (opp) is unknown. take as x
sin(22.5) = x/44
0.383×4 = x
x = 1.532 (app) = 1.5 cm
perimeter = 1.5 × 8
= 12 cm
area of triangle WOP = 2×1/2 ×bh = bh
= 4×1.5
= 6 cm²
so the area of regular polygon = 8× area of a triangle
= 48 cm²
Answer:
see below
Step-by-step explanation:
A: 2x² - 3x - 5
(2x - 5)(x + 1)
B: Set the factored equation equal to zero and solve for x.
(2x - 5)(x + 1) = 0
2x - 5 = 0
2x = 5
x = 5/2
x + 1 = 0
x = -1
The x-intercepts are 5/2 and -1
C) To find the end behavior, you need to look at the term in the unfactored equation with the highest exponential number. For this equation, that is 2x². Since the exponent is positive, both ends of the graph will point in the same direction. Because the leading coefficent is positive, the graph will point upwards. The end behavior of the graph is that as the x-values approach both ∞ and -∞, the function approaches ∞.
D) Since we know that the x-intercepts are 5/2 and -1, you can plot these points. You also know that the graph will be in an upward U shape. Plug in a couple x-values and plot them to make the graphing of the equation more accurate.
It should be 90cm
So it says 20cm multiply that by2 which is 40
Then add all the 10.
That is it!
