Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
35% off means that now it costs 100%-35%=65% of the original price
<span>£78 ---- 65%
x------100%
x=78*100/65=120</span>£<span>
or
part/whole=0.65
78/whole=0.65
whole =78/0.65 =120 </span>£
Answer:
28 degrees
Step-by-step explanation:
z and x are the same. Do the math.
Answer:
3 gallons
Step-by-step explanation:
Length of the rectangular wall = 23.6 feet
Width of the rectangular wall = 19.2 feet
Surface area of the wall = 23.6 × 19.2
= 453.12 square feet
∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon
∴ 1 square feet of the wall will be covered by the amount of paint = 
gallons
∴ 453.12 square feet will require the amount of paint = 
= 2.2656 gallons
Therefore, minimum 3 gallons will be required to paint the wall.
C = $5.85
$5.85 = 0.35t + 0.6
-.6 -.6
$5.25 = 0.35t
------- --------
.35 .35
15 = t
15 minutes
