Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.
Answer:
Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.
Raise the factor to the power of the multiplicity. For instance, if the zero -1 in the example has a multiplicity of two, write the factor as (x +1)^2.
Repeat Steps 1 and 2 with the other zeros and add them as further factors. For instance, if the example polynomial has two more zeros, -2 and 3, both with multiplicity 1, two more factors -- (x +2) and (x -3) -- must be added to the polynomial. The final form of the polynomial is then ((x +1)^2)(x +2)(x -3).
Multiply out all the factors using the FOIL (First Outer Inner Last) method to get the polynomial in the standard form. In the example, first multiply (x + 2)(x - 3) to get x^2 + 2x - 3x - 6 = x^2 - x - 6. Then multiply this with another factor (x + 1) to get (x^2 - x - 6)(x + 1) = x^3 +x^2 - x^2 - x - 6x - 6 = x^3 - 7x - 6. Finally, multiply this with the last factor (x + 1) to get (x^3 - 7x - 6)(x + 1) =x^4+x^3-7x^2-7x-6x-6 = x^4 + x^3 - 7x^2 - 13x - 6. This is the standard form of the polynomial.
FIND GE (NEED ANSWER FAST!!!)
Answer:
GE = 14
Step-by-step explanation:
3x + 5 = 6x - 4
x = 3
Plug it in.
3 (3) + 5 = 14 = GD
6 (3) - 4 = 14 = GF
With that information, you know all the blue lines are the same.
GE = 14
The number of seeds found in a sample of 7 different oranges were: 3, 3, 4, 5, 7, 8, and 12. What is the range of the number of seeds in the sample of oranges?
A:5
B:6
C:7
D:9
PLz help me i need this answer
Answer:
9
Step-by-step explanation:
Range is Biggest Number - Smallest Number.
12 is the biggest number and 3 is the smallest number.
So, 12 - 3 = 9
Answer:
9
Step-by-step explanation:
becauses 12-3=9
hope it helps
You walk back and forth to school every day. The school is 1.25 km from your home. What is the distance you walk, in meters, every day? (1km =1000m)
PLEASE HELP <3
Answer: 1250
Step-by-step explanation:
0.25x1000=250
+ 1km/1000 meters
1000+250=1250
Answer:
2500m
Step-by-step explanation:
1.25km is 1250m. 1250 multipled by 2 is 2500m.
i need help with geometry
Answer:
x = 119, y = 55
Answer:
x = 119°
y = 55°
Step-by-step explanation:
y + 125 = 180 {linear pair}
y = 180 - 125
y = 55°
Sum of all the angles of quadrilateral = 360
x + 55 + 72 +114 = 360
x + 241 = 360
x = 360 - 241
x = 119°
are the ratios 1:2 and 9:18 equivalent A.Yes. B.No
Olivia has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 7.5 points for each visit to the movie theater. She needs 130 points for a free movie ticket. How many visits must Olivia make to earn a free movie ticket?
Answer:
14
Step-by-step explanation:
7.5x + 25 = 130
-25 -25
7.5x = 105
[tex]\frac{7.5x}{7.5}=\frac{105}{7.5}[/tex]
x = 14
Hence, she must make 14 visits in order to earn a free movie ticket.
solve this plz????? thx
Answer:
AOD i think
Step-by-step explanation:
Answer:
angle aob
Step-by-step explanation:
HELP ME PLEASEEEEEEEEE
Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood
flooring does she need?
8
6
8
2
6
2
12
Оа
Ob
Ос
Od
144 ft?
112 ft?
116 ft?
60 ft
Answer:
116 c
Step-by-step explanation:
Answer:
116 ft²
Step-by-step explanation:
8x8=64
12x2=24
2x6=12
4x4=16
64+24+12+16=116
Which equation is equivalent to 15 +80 ?
Answer:
is a lot of them
Step-by-step explanation:
94+1, 95+0, 79+16
Answer: 5(3+16)
Step-by-step explanation:
5x(3+16) = (3+16= 19) = 5 x 19 = 95 which is equivalent to 15 + 80 = 95
brainliest plz
Which of the triangles are right triangles?
Step-by-step explanation:
1 is a right triangle I know this because a right triangle is a triangle which one of the angles is a 90 degree angle
Answer:
Triangles 1,2,3, and 4 are all right triangles
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP NEED ANSWER NOW!!!!!!!!!!!!!!!!!
solve each linear system by GRAPHING. CHECK YOUR ANSWER
2.) x - y = 6
2x = 12 + 2y
3.)1/2 x - y = 4
2y = x + 6
Answer:
2.) Infinitely many solutions
3.) No solutions
Step-by-step explanation:
To solve systems of equations graphically, you need to find where they intersect
2.) First put each equation in the form y=mx+b
x-y=6 -> y= x-6
2x=12+2y -> y= x-6
Then, graph each line
Since we have the same equation, the lines are on top of each other so there are infinitely many solutions as they intersect everywhere.
To check, plug a point in from the graph into both equations and you should get 0=0
3.) First put each equation in the form y=mx+b
1/2x-y=4 -> y=1/2x-4
2y=x+6 -> y=1/2x+3
Then, graph each line
Since the lines have the same slope but a different y intercept, the lines are parallel. Therefore, there are no solutions as they do not intersect.
To check your answer, you would one equation as the y in the other equation.
2(1/2x-4)=x+6, then solve for x
Then plug that x into the original equations, and you'll see they are not equal. Hope that helps!
Which graph shows a function that is increasing at a constant rate?
The graph showing a function increasing at a constant rate is graph B.
How to determine a increasing or decreasing function in an interval?In order to check the rate of rise of a function in an interval find the value of its derivative at all the points of that interval. If the values of derivatives are increasing then the function is increasing else it is decreasing.
The graphs A and B are given in the problem can be analysed one by one as follows,
Graph A,
In the interval [-∞,0], the slope of the function is decreasing.
And, in the interval [0,∞], the slope is increasing.
Thus, it is not increasing at a constant rate.
Graph B,
The function has the same slope in both the intervals [-∞,0] and [0,∞], which is positive.
It implies that the function is increasing at a constant rate.
Hence, the function shown in graph B is is increasing at a constant rate.
To know more about increasing function click on,
https://brainly.com/question/21753201
#SPJ2
yes or no?? please helppp!!!
Answer:
I think No
Step-by-step explanation:
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answer: y – 3 = –1/7(x – 3)
6x4? multiplication answer
Answer:
24 ;)
Step-by-step explanation:
have a great day!
Janet correctly answers 50 questions on her science test. There are 80
questions on the test. Enter the percent of the questions Janet did NOT
answer correctly
Answer:
30/80
3/8x100
37.5
Step-by-step explanation:
Question: c > 2.5; c = 3
Answer:
(1+x)
n
=
n
C
0
+
n
C
1
x+
n
C
2
x
2
+
n
C
3
x
3
+.....
n(1+x)
n−1
=
n
C
1
+2
n
C
2
x+3
n
C
3
x
2
+....
Put x=5
n(1+5)
n−1
=C
1
+2.5C
2
+3.5
2
C
3
+....
=n6
n−1
.
find an equivalent expression to 5+9
Find the geometric mean between 4 and 20.
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Geometric mean is when you multiply the two numbers 4 and 20 and then take the square root of the product.
So 4 x 20 = 80, and the [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex]
However-- that's if you meant finding the geometric mean of 4 and 20 when you said "between"
Subtract - 7x2 + 1 from – 2x2 - 4x.
Answer:
11-4x
Step-by-step explanation:
LOL so yea this doesn’t really make sense to me so whoever can help I’ll give you brainliest or whatever
Answer:
it's a linear problem
Step-by-step explanation:
0=1
1=2
2=3
3=4
4=5
5=6
6=7
7=8
8=9
9=10
What is the value of x?
Answer:
X= 120
Step-by-step explanation:
Which equation represents the solution of the equation 6x – 18 = 30?
Answer:
x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x-18-(30)=0
STEP 1:
Pulling out like terms
Pull out like factors :
6x - 48 = 6 • (x - 8)
STEP 2:
Equations that are never true:
Solve: 6=0
This equation has no solution.
Solving a Single Variable Equation:
Solve : x-8 = 0
Add 8 to both sides of the equation :
x = 8
please answer, and i will mark you as BRAINLIEST
John's grades go up as he puts in more hours of study time. Which variable is the independent variable in this problem? *
A. His grades
B. The hours he studies
Answer:
i think its b
Step-by-step explanation:
i think its b because his grades are the variable that keeps changing
calculate the value of (-18) (-3)
Answer:
54
Step-by-step explanation:
You do -18 times -3 which is equal to 54. It is positive because in multiplication and division if you multiply a negative times a negative or divide a negative divided by a negative it will equal a positive.
Hope this helps!
54 POINTS: PLS HELP ASAP !!
Solve the following system of equations using the substitution method.
6x + 3y = 15
y = 1 - x
A. (3,-4)
B. (-3,4)
C. (4,-3)
D. (-4,3)
Answer:6x+3-3x
6x-3x= 3x
3x+3=15
-3. -3
3x=12
3. 3
X=4
Step-by-step explanation:
which table represents a function?
Answer:
you didn't post the tables
Stephen and Lauren bought a home to flip
for a profit. After budgeting a total of
$23,150 for improvements, they started by
spending $10,350 on subbing out some of
the work. They would like to replace all
thirty-two of the windows in the home.
What is the maxium amount they can
afford to spend on each window?
Answer:
400 dollars
Step-by-step explanation:
How does the graph of g(x) = 5x – 3 compare to the graph of f(x) = 5*?
Answer:
the graph is shifted down 3 units
Step-by-step explanation:
5x-3
meaning the original graph of 5x going down three units
Answer:
The graph is 3 units down
Step-by-step explanation:
The equation is 5x-3 meaning 3 units down
simplify the following expression by combining like terms. select the most simplified Expression 2 W + 5 W - 6 + 4w
Answer:
11w-6
Step-by-step explanation
2w+5w-6+4w=7w+4w-6=11w-6