Let's first get the coefficients of the numerator: x^4 - 2x^3 + x + 3 = 1, -2, 0, 1, 3
<em>There is no x^2 in the expression, thus, the coefficient for x^2 = 0</em>
Zero of the denominator: x + 3; x = -3
Using synthetic division,
-3 I 1 -2 0 1 3
I_________________
-3 I 1 -2 0 1 3
I_________________
1
-3 I 1 -2 0 1 3
I_____-3___________
1 -5
-3 I 1 -2 0 1 3
I_____-3__15_______
1 -5 15
-3 I 1 -2 0 1 3
I_____-3__15_-45____
1 -5 15 -44
-3 I 1 -2 0 1 3
I_____-3__15_-45____
1 -5 15 -44
-3 I 1 -2 0 1 3
I_____-3__15_-45_132__
1 -5 15 -44 135
The remainder is 135. Which transforms it into 135/x+3.
Thus, the quotient of x^4 - 2x^3 + x + 3 divided by x + 3 is:
Answer:
x ≈ 1091.63
Step-by-step explanation:
Using the rule of logarithms
x = n ⇔ x = 
note that ln x is to the base e
Given
ln(x + 5) = 7, then
x + 5 = 
( subtract 5 from both sides )
x = - 5 ≈ 1091.63 ( nearest hundredth )
Answer: B
Step-by-step explanation: the similar paper appears to be 2 times larger then Fransicos since 38/19=2, so I did 14 1/3*2 which equals 28 2/3, so the answer is B
Use the law of sines....
sin51/x=sin90/67
x=(67sin51)/sin90
x=52.07
....
tan39=(h-1.8)/44
h-1.8=44tan39
h=44tan39+1.8
h=37.4 m
Answer:
l = 6
+ 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18
+ 6a² - 3a and w = 3a , then
3aw = 18 + 6a² - 3a ( divide each term by 3a )
w = 
+ 
- 
= 6 + 2a - 1
