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Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2,- 2+i.
Answer:
f(x) = x^3 + 2x^2 + x + 2
Step-by-step explanation:
If -2 + i is a zero, then -2 - i must also be a zero.
These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).
(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.
Multiplying this result by the 3rd and last factor, (x + 2), we get
(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2
Check, using synthetic division. What are the factors of x^3 + 2x^2 + x + 2?
-2 / 1 2 1 2
-2 -2 -2
-----------------------
1 0 -1 0 Since the remainder is zero, we know that
(x + 2) is a factor and -2 is a root.
consider the diagram below
can someone please explain
Answer:
they want u to replace the letters with the numbers and then solve the equation. so instead of having c/a+2b they want you to write 6/3+2(-4)
then they want u to solve it. 6/3=2 and 2(-4)=-8 finally add 2 and -8 to get the answer -6. (you probably need to write it step by step not just say what the answer is)
Step-by-step explanation:
give at least 2 objects that have the shape of triangle.
give at least 3 objects that have the shape of quadrilateral.
Answer:
Triangle:
- triangle-sticky notes yung triangle shape
- toblerone candy
Quadrilateral:
-quadrilateral-book
-box
-frame
Step-by-step explanation:
hope it helps u and may I get brainliest
Answer:
Sandwich.
A Slice of Pizza.
Road sign.
An Arrow.
Triangular Ruler.
Zelda Triforce Symbol.
Triangular Ruler.
Step-by-step explanation:
12 = -4(-6x - 3)
x=
i made this 19 points please help
Answer:
0
Step-by-step explanation:
-4 times -6x is 24x and-4 x -3 = 12
isolating 24x on the right side we subtract twelve on the right and on the left to get 24x=0 and 24 divided by zero is 0
Answer:
I think the answer is x=0
Step-by-step explanation:
rewrite the equation 12x=13-x^2
Answer:
x^2+12x-13 = 0
Step-by-step explanation:
12x=13-x^2
=>12x+x^2=13-x^2+x^2
=>x^2+12x-13 = 13-13
=> x^2+12x-13 = 0
Answer:
x² + 12x - 13 = 0
Step-by-step explanation:
12x = 13 - x²
the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;
0 = 13 - x² - 12x
0 = -x² - 12x + 13
In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:
x² + 12x - 13 = 0
Writing linear equations from a table
Find the y intercept and slope
Answer:
y=2/5(x)-4
Step-by-step explanation:
m=2/5
y=mx+b
2=2/5(15)+b
b=-4
Answer:
m= 2/5 (i don't know if you have to put x)
b= -4
y = 2/5x-4
Step-by-step explanation:
i hope this helps :)
Please help I'll mark brainliest
Answer:
(-5,6)
Step-by-step explanation:
5(-5) +6y =11
-25 +6y = 11
6y = 36
y = 6
Plz help me with math here is the question use the distributive property to find an equivalent expression for: 6 (2m + 4 ) *
Answer:
12m + 24
Step-by-step explanation:
Using the distributive property, distribute 6 to the terms in the parentheses
6(2m + 4)
12m + 24
So, the equivalent expression is 12m + 24
An altitude is drawn forming a right angle and two congruent triangles. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
56.8
Step-by-step explanation:
Base: 17/2=8.5
8.5^2+18^2=x^2
72.25+324=x^2
x^2=396.25
Perimeter: 19.9+19.9+17=56.81
what is 2x+5=y and 5x+4=y pls hurry
Answer:
( 1/3, 5 2/3) Or (0.33, 5.66)
Step-by-step explanation:
If you graph the 2 equations and see where they intersect, they will land on the answer.
A square piece of cloth must be cut to make a tablecloth. The area needed is 16x^2 – 24x + 9 square inches
Find the simplified expression for the side length of the cloth, then the simplified expression for the
perimeter of the cloth.
Answer:
16x-12
Step-by-step explanation:
4x-3 is one side
(4x-3)4 = 16x-12
Using the following diagram, solve for x.
someone please help, its urgent
Answer:
its c and use th e thererum
Find the shaded area, please help ty (Geometry)
Answer:
The area of whole square is 396 sq mm
the area of triangle = 99
396 - 99 = 297 sq mm
Answer - 297
PLEASE HELP ASAP WILL GIVE BRAINLEAST TO CORRECT ANSWER
Answer:
B Increase: 1, 6
B Decrease: 2, 5
Step-by-step explanation:
Brainliest plz ;)
Can someone help with this plz Its brining down my grade
- Sketch the solution to each system of inequalities.
What is the slope of y = 4-2x
Answer:
m=-2 its just -2
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −2 .
Step-by-step explanation:
Robert has x books. Marie has twice as many books as Robert has. Together they have 18 books. Which of the following equations can be used to find the number of books that Robert has?Choose one multiple choice answer
x+x+2=18
x+2x=18
2x=18
Answer:
2x=18
Step-by-step explanation:
2 times 9 equals 18 and if they both have 18 together the only anwser would be 2x=18 x=9 Another way I could put it to make it more simple is 2X9=18 or 29=18
Help if you can!! I really need some good grades or I will fail this and that wont help anything.
Answer:
26) A
29)D
4) C
Step-by-step explanation:
Hope this helps. Your gonna pass
What would be the fraction when you rewrite 8-2?
Answer:
The fraction would be 6 or 6/1 because 8-2=6.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
If a triangle has sides with lengths of 10 inches 12 inches and 14 inches is a right triangle?
Answer:
not a right triangle
Step-by-step explanation:
right triangles are those that prove out to be true when you square the two smaller sides and the sum is equal to the square of the longest side
true or false?
10² + 12² = 14²
100 + 144 = 196
False, ∴ not a right triangle
If Sally's school is 2.5 km long. How many meters long is Sally's school?
Answer:
2500 m long
Step-by-step explanation:
Answer:
2,500 meters
Step-by-step explanation:
There are 1000 meters in a kilo meter so just multiply 2.5 x 1000
What is 1.939 x 10^5 in standard form?
Answer:
193900
Step-by-step explanation:
thx for points
Please help me I cant understand how to find the volume of different shapes for the life of me
Answer:
seeing as no one is answering I will
Chicago has a temperature of -8°F. Seattle has a temperature colder than Chicago. Select all value that could represent the temperature of Seattle. O 13°F O 10°F 0-10°F ] -13°F -21°F
Answer:
-10°F, -13°F, and -21°F
Step-by-step explanation:
we are looking for a temperature that is less than -8
-10°F, -13°F, and -21°F are all less than -8
Write 1.888888... as a mixed number.
Answer:
17/9
Step-by-step explanation:
Answer:
the answer is 1 8/9.
Step-by-step explanation:
it is an improper fraction
find the measure of the indicated angle to the nearest degree
Answer:
21.8014094864
Step-by-step explanation:
tan(x)= 4/10
=0.4
inverse tan(0.4)
21.8014094864
Which one is the answer? Please be honest this is for my friend.
Answer:
A 0.4kg object rolling at 2 m/s that's d right answer
Answer:
A 0.4 kg object moving at 4 m.
Step-by-step explanation:
The heavier the object is, the faster it goes. Also the faster is goes and the heavier it is, the more momentum it has.
Which situations illustrate that the sum of opposite numbers is zero?
A) Will receives a gift card for $60 and spends all of it on a video game.
B) John receives $50 for mowing a lawn and an additional $50 for walking
dogs this week
C) Kyle deposits $600 into his account on Monday and withdraws $600 at the
D) ATM the next day.
Sheila advances 5 squares on a board game. On her next turn, she goes
forward 5 squares.
E) The animal shelter receives $3000 in donations and pays an invoice of
$3000 for food and supplies.
Answer:
Step-by-step explanation:
I think it’s c
Find the surface area of this prism.
Round to the nearest tenth.
Answer:
The answer is 493.3
Step-by-step explanation:
6.72 x 12.7 x 5.78 = 493.28872
And 493.28872 rounded to the nearest tenth is 493.3 because the original number in the tenth place is 2 and then the digit before that is 8 which in this case is your rounding digit. Round up If the number is greater than 5 and round down if its less than 5. In this case its greater than 5 to that leaves you with 28 so now you have 493.28, 28 rounded to the nearest tenth is 30 and just take the 0 away, as if it didn't exist.
The surface area of the prism is 395 square centimeter.
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is to fins the surface area of the prism given below.
The given prism is a cuboid. We can write the surface area of the cuboid as -
V = 2(LB + BH + LH)
V = 2(12.7 x 5.78 + 5.78 x 6.72 + 12.7 x 6.72)
V = 2(73.4 + 38.8 + 85.344)
V = 395 square centimeter
Therefore, the surface area of the prism is 395 square centimeter.
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