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
Ber [7]
1 year ago
15

Which expression is a prime polynomial?A. X^3-bx^2B. X^2-4x-12C. X^+8xy^3D. X^2-b^3

Mathematics
1 answer:
SOVA2 [1]1 year ago
5 0

A prime polynomial is one that can only be divided by itself and 1. Let's check it option.

A. x³-bx²

This polynomial can be divided by itself, 1, x and x². So it can't be prime.

B. x²-4x-12

This polynomial represents the standard form of a second order polynomial. This means that it is a parabolla. A polynomial of this form can be divided by (x-a) where "a" is the value of its roots. So it can't be prime.

C. x+8xy³

This polynomial can be divided by x, 1 and itself, therefore it can't be a prime.

D. x²-b³

This polynomial can only be divided by 1 and itself. So this is the correct answer.

You might be interested in
When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
3 years ago
Based on the information provided in the net worth statement, what is the net worth of this person?
BigorU [14]

To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).


( $487,500 + $265000) - $445500

$307000

This person's net worth is $307000.

5 0
3 years ago
6th grade mathematics<br> Find the number that makes the ratio equivalent to 40:16<br><br><br> 5:
sineoko [7]

Answer:

5:2

Step-by-step explanation:

40÷5=8

16÷2=8

hope this helps you!!

4 0
2 years ago
Read 2 more answers
In △ABC the points M and N belong to the sides
tangare [24]

Try this solution, it consists of two parts (MN=8).

4 0
3 years ago
Rob ran 27.2 miles less than Jasmine last week. Rob ran 10 miles. How many miles did Jasmine run?
jeka94

Answer:

Jasmine ran last week 37.2 miles

Step-by-step explanation:

Let

x ----> number of miles Rob ran last week

y ----> number of miles Jasmine ran last week

we know that

x=y-27.2 ----> equation A

x=10 ----> equation B

Substitute equation B in equation A and solve for y

10=y-27.2

y=10+27.2

y=37.2 miles

4 0
3 years ago
Other questions:
  • If someone drank 3 fourthes of a 16 ounce bottle . how many ounces are left
    12·2 answers
  • The selling price of a​ refrigerator, is ​$ 468.60. If the markup is 10 % 10% of the​ dealer's cost, what is the​ dealer's cost
    12·1 answer
  • What is the value of 36x-8y2 when x=3 and y=-6
    6·1 answer
  • Zac is making a recipe that requires one cup of vinegar in 2 cups of water if I write the ratio of vinegar to water what is the
    14·1 answer
  • A 10-foot board is to be cut into 3 pieces. Two of the pieces will be the same length and one piece will be 2 feet longer than t
    12·1 answer
  • thomas and his mom take a taxi to the airport it costs a flat fee of $10 plus $4.75 a mile his mom adds a 10% tip to the total a
    15·2 answers
  • jason is training for a marathon bike ride. His average speed increase from 3 miles per hour to 6 miles per hour in 3 months fin
    9·1 answer
  • Find the number that makes the ratio equivalent 1:5 9:
    9·1 answer
  • How do you make an exponential equation with these two points: (1,2) and (0.5,4)
    10·1 answer
  • A student makes and sells designer T-shirts to earn extra cash. The material needed to make each T-shirt costs $4.25. Currently,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!