1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oliga [24]
3 years ago
8

Which of the following is a polynomial with roots

Mathematics
2 answers:
PtichkaEL [24]3 years ago
5 0
a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-\sqrt3;\ x_2=\sqrt3;\ x_3=-2;\ a=1\\\\subtitute\\\\(x+\sqrt3)(x-\sqrt3)(x+2)=(x^2-3)(x+2)\\\\=\boxed{x^3+2x^2-3x-6}\to\fbox{B.}
Anuta_ua [19.1K]3 years ago
5 0
<span> the polynomial has the factor (x-n) </span>
<span>So any polynomial with these roots, must have the factors (x+sqrt(3))(x-sqrt(3))(x+2) </span>
<span>Since these are cubic polynomials (highest x term is x^3), these are all the factors, so the polynomial is of the form: </span>
<span>k(x+sqrt(3))(x-sqrt(3))(x+2) </span>
<span>And since the x^3 term is 1, the constant k must be 1. </span>

<span>So, the polynomial must be the one which is equal to: </span>
<span>(x+sqrt(3))(x-sqrt(3))(x+2) </span>
<span>Since the constant term (the last term) is different for each of your 4 options, you just need to evaluate the constant term and see which one matches. </span>
<span>i.e. the answer is whichever polynomial has a constant term equal to </span>
<span>sqrt(3) times (-sqrt(3)) times 2</span>
You might be interested in
Write an equation in slope-intercept form of the line that passes through (6, -1) and (3, 47)
katrin2010 [14]

Answer:

Step-by-step explanation:

(47+1)/(3-6) = 48/-3 = -16

y + 1 = -16(x - 6)

y + 1 = -16x + 96

y = -16x + 95

6 0
3 years ago
Last summer, Brianna planted 2 plants
Volgvan

Answer: how many square feet are there? multiple each square foot by 2

Step-by-step explanation:

4 0
3 years ago
Find three solutions of the equation.
Gwar [14]

Answer:

3rd group of possible answers is the correct set

Step-by-step explanation:

Each of the three points in the 3rd line of possible answers is a solution of the given equation, as can be verified by substitution:

If x = -2, y = -8(-2) = +16

If x = 3, y = -8(3) =  -24

If x = -4, y = -8(-4) = +32

8 0
3 years ago
Read 2 more answers
The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?
PtichkaEL [24]

The volume of a cylinder with a radius r and a height h:

V_1=\pi r^2h

The volume of a cone with a radius r and a height h:

V_2=\dfrac{1}{3}\pi r^2h

Therefore

V_2=\dfrac{1}{3}V_1

We have V_1=32.25\ in^3

Substitute:

V_2=\dfrac{1}{3}\cdot32.25=10.75\ in^3

Answer: The volume of a cone is equal 10.75 in³

8 0
3 years ago
Please answer this question, i need it to be explained also.please
Anettt [7]

Answer:

6.6

Step-by-step explanation:

If you minus 54.2 and 47.6 you get 6.6

54.2

-<u>47.6</u>

6.6

8 0
2 years ago
Read 2 more answers
Other questions:
  • Olivia and her 2 friends are sharing 5 1/4 gallons of paint for their rooms. They have the same size room and therefore want to
    5·1 answer
  • HELPPPPP PLEASE! !!!
    8·2 answers
  • Estimate 3579 divided by 89
    14·1 answer
  • Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slop
    5·2 answers
  • please ingore wirthing im struggleing and thats all that is but i need help i didnt catch range and i cant figure it out
    8·1 answer
  • In 2008, the total trade between the United States and Japan was $2.04 x 101^1. The total trade between the U.S. And Australia w
    8·1 answer
  • Which matrix represents the system of equations shown below?5x - y = 82x - 3y = 12
    9·1 answer
  • Find the future value of an ordinary annuity of $80 paid quarterly for 2 years if the interest rate is 7 % compounded quarterly
    14·1 answer
  • What is the slope of a line perpendicular to 3x+2y = 7?​
    14·2 answers
  • Write the equation of the line that passes through the points (2,3) and (3, – 7). Put
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!