Which polynomials are prime? Check all that apply.15x2 + 10x – 9x + 7
20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16

Answers

Answer 1

Answer:

Prime polynomials are those polynomials that are not factored into lower degree polynomial. The options that are prime polynomials are 1), 4), and 5).

Evaluate all options in order to check that the polynomials are prime or not:

1). $15x^2 +10x -9x+7$

5x(3x + 2) - (9x - 7)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). $20x^2-12x+30x-18$

$4x(5x - 3)+6(5x-3)$

(4x + 6)(5x - 3)

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). $6x^3+14x^2-12x-28$

$2x^2(3x+7)-4(3x+7)$

$(2x^2-4)(3x+7)$

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). $8x^3+20x^2+3x+12$

$4x^2(2x+5)+(3x+20)$

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). $11x^4+4x^2-6x^2-16$

$x^2(11x^2+4)-2(3x^2+8)$

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

For more information, refer to the link given below:

brainly.com/question/20121808

Answer 2

Answer:

Answer:

The prime polynomials are 1, 4 and 5

Step-by-step explanation:

Given some polynomials we have to classify the polynomials prime or not.

Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.

$15x^2 + 10x - 9x + 7$

⇒ $5(3x+2)-(9x-7)$

can't be factored into lower degree polynomial ∴ prime polynomial.

$20x^2 - 12x + 30x - 18$

⇒ $4x(5x-3)+6(5x-3)$

⇒ $(4x+6)(5x-3)$

hence, not a prime polynomial.

$6x^3 + 14x^2 - 12x - 28$

⇒ $2x^2(3x+7)-4(3x+7)$

⇒ $(2x^2-4)(3x+7)$

hence, not a prime polynomial.

$8x^3 + 20x^2 + 3x + 12$

⇒ $4x^2(2x+5)+(3x+20)$

can't be factored into lower degree polynomial ∴ prime polynomial.

$11x^4 + 4x^2 - 6x^2 - 16$

⇒ $x^2(11x^2+4)-2(3x^2+8)$

can't be factored into lower degree polynomial ∴ prime polynomial.

The prime polynomials are 1, 4 and 5

Related Questions

Why does the author of "The Think Tank" include Shumaker's admission that he did not think that Azy would be the fastest learner? A. to show that Shumaker used to dislike working with Azy B. to show that Azy only began to improve as a learner when Shumaker started to work with him C. to show that animals can even surprise experts with their capacity to learn D. to show that researchers must sometimes do work that they consider difficult
Steven is exploring the impact of neglect on academic achievement for grade school children. He will be using a nonprobability sampling procedure, due in-part to the sensitive nature of the research topic. He begins the sampling process by selecting research participants who are the easiest to find. What type of sampling procedure is he using? a. Convenience sampling b. Criterion sampling c. Snowball sampling d. Quota sampling
The Halloween candy bowl of chocolates had 80 pieces of candy. On average 3 pieces were eaten every hour.The bowl of sour candy had 120 pieces and 5 pieces were eaten each hour.Write and solve the system. Write each equation in the order that it appears in the problem.At what hour will the bowls have the same amount? How many pieces will each bowl have at this hour?
Rachel buys 10m of rope and cuts5 pieces form, each 1.2 meters to tie up things. she then cuts the reaming into some pieces each of length 0.6 meter how many pieces of rope of length 0.6 meter did he cut
Given f(x) = x - 10. What is f(-7) ?

System of equations PROBLEM/QUESTION:
A school band ordered hats for $3 and large T-shirts for $5. They bought 150 items in all for $590. Graph a system of equations to find how many hats and T-shirts the band ordered.

**PLEASE HELP I DONT UNDERSTAND SYSTEM OF EQUATIONS

Answers

The number of hats ordered is; 80 and the number of shirts ordered is; 70.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the Cost of hats = $3

The Cost of shirts = $5

The total cost of all the items = $590.

Total number of items bought = 150 items.

Let us assume that the number of hats ordered be x.

The number of shirts ordered be y

The equation can formed as;

x+y = 150 -------(1)

3x+5y = 590 ---------(2)

Multiply and subtract eq(2) from eq(1),

3x+3y = 450

-(3x+5y = 590)

-2y = - 140

y = 140/2

y = 70.

Thus, the number of shirts ordered is; 70.

Now Substitute y=70 in eq(1),

x+70 = 150

x = 150-70

x = 80.

Thus, the number of hats ordered is; 80.

Learn more about equations here;

brainly.com/question/25180086

#SPJ2

You would make a system of equations, so the first would be "x+y=150" (x is the number of hats and y is the number of shirts). The second equation would be "3x+5y=590". You would solve the system by either substitution, elimination, or graphing it.
If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like: y=150-x 3x+5(150-x)=590
If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like: 3x+5y=590
+ -5x- 5y=-150
-----------------
-2x=440
x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like: -220+y=150
y=370
If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.

GEOMETRYPLEASE HELP ASAP
EXTRA POINTS

The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile?

Select one:
a. 10.6 miles
b. 6.4 miles
c. 4.5 miles
d. 3 miles

Answers

the mall if 4 miles east and 5 miles north, which means that the city's center is 4 miles west and 5 miles south to the mall. Truth is 4 miles west and 2 miles south of the city's center. This means that:

The mall is 3 miles south of where Truth is (as the west cancel out)

d. 3 miles is your answer

hope this helps

Aretha had $0.85 in nickels and dimes. She has 2 more nickels than dimes. How many nickels and dimes does she have?

Answers

5 dimes and 7 nickels

Answer:

Step-by-step explanation:

0.85 + 10=0.95 and tyhat + 14 nickle and dimes

Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age
B. the points scored by a basketball player compared to his minutes played
C. the height of a woman compared to her age
D. the hours of daylight in a city throughout the year

Answers

The hours of daylight in a city throughout the year represent the negative linear correlation coefficient. Then the correct option is D.

What is a negative linear correlation coefficient?

Independent quantities with an inverse relationship tend to move in different directions.

In essence, any figure between 0 and -1 denotes an opposing movement of the equity stocks.

When the correlation coefficient becomes less than 0, there is a negative (opposite) correlation. This suggests that both parameters are moving in the obverse direction.

The hours of daylight in a city throughout the year represent the negative linear correlation coefficient

Then the correct option is D.

More about the negative linear correlation coefficient link is given below.

brainly.com/question/12400903

#SPJ2

Answer:

D. the hours of daylight in a city throughout the year

Step-by-step explanation:

Translate the phrase into an algebraic expression
The sum of c and 4

Answers

The phrase "The sum of c and 4" can be translated into an algebraic expression as "c + 4".

An algebraic expression is a mathematical representation that consists of variables, constants, and operations like addition, subtraction, multiplication, and division. It doesn't have an equal sign, so it doesn't form an equation. For example, "3x + 2" or "5a - 7b" are algebraic expressions.

The phrase "The sum of c and 4" can be translated into an algebraic expression as "c + 4". In this expression, 'c' represents a variable, and '4' represents a constant. The addition operation between them signifies that you need to add the value of 'c' to 4. This algebraic expression can be evaluated once you have a specific value for 'c'.

Learn more about algebraic expression here

brainly.com/question/26918581

#SPJ3

Answer:

C+4

Step-by-step explanation:

HELP!!!!! PLEASE!!!!!