Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
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Polynomial root calculator
Polynomial long division
Related links
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Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation:
[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]
Answer:
ddsdvffgdf gddccd fddf
i just need some help on a few math questions. i'm very bad at math sorry :(
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation:
4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please
Answer:
r=-2.00000
s=2.00000
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..
Answer:
I think is c
Step-by-step explanation:
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!
Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?
Answer:
0.55x = $27
Step-by-step explanation:
Let the price of the painting = x
x - 45% of x = $27
x - 0.45x = $27
0.55x = $27
Divide both sides by 0.55
0.55x/0.55 = $27/0.55
x = $49.09
Mrs. Sing invest $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will mrs. sing substitute for r in the simple interest formula?
Answer:
The number that she will substitute is 7
Step-by-step explanation:
Mathematically, simple interest can be calculated using the formula ;
S.I = PRT/100
where P is the principal which is the amount invested = $12,876
T is the time which is 3 years
and R is the rate which is 7%
Answer:
Answer:
The number that she will substitute is 7
Step-by-step explanation:
i just took he test
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answer:
the 2nd and 4th i think
Step-by-step explanation:
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
I need help with this please
lx+ 11 l< 17
Answer:
x<6 should be the correct answer
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
What is 4 divided by 3/5
Answer:
20/3 or 6 2/3
Step-by-step explanation: 4/1 times 5/3 multiply and you get 20/3
Answer:
6 2/3
Step-by-step explanation:
I WILL GIVE 30 POINTS PLEASE Sinorice put $7.200 in a savings account that pays 3.295 interest compounded annually.
After 3 years, he deposited another $5.000 in the account. What is the value of the account
after 8 years?
A $14 98240
B $15.116.25
C $15.596.30
D $16.073.60
PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.
Answer:
[tex]2x + 1200[/tex]
Step-by-step explanation:
[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]
Each new line represents the change stated in the question.
DUE 10 MIN PLEASE HELP
show work
Answer:
10
Step-by-step explanation:
0.333 repeating times 15. Please help me out and answer this question.
Answer:
4.995
Step-by-step explanation:
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
Two equations are shown: I will give 40 pts if someone answers
Equation 1: (x – 12) = 12
Solve each equation.
Answer:
x and y both equal 24
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15