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yawa3891 [41]
3 years ago
10

Which polynomials are prime? Check all that apply.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
10 0
The awnser is A,D,and E
KIM [24]3 years ago
6 0

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

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Write the equation of a line that passes through points (0,4) and (-2,-3) in slope intercept form
Otrada [13]

y=mx+b is the equation of a line;

m=slope , b= y-intercept

You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))

In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.

m= 7/2 ; so we have : y= (7/2)x+b

We are give a set of points which it passes through, we can simply plug them in:

4 = (7/2)(0)+b (0 is the x and 4 is the y)

We get 4 = 0 +b .... 4=b

our final equation is : y=(7/2)x+4

4 0
3 years ago
Are these triangles congruent ?
11111nata11111 [884]

Answer:

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Step-by-step explanation:

from sss axiom

we can say that they are congurqnt

7 0
2 years ago
Find the value of x<br><br>urgent!! plz help me! will give the brainliest​
Anarel [89]

Answer:

x = 2

Step-by-step explanation:

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

→ Expand the brackets

\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

⇒ Substitute in the values

\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0

⇒ Simplify

\frac{1}{2} (1)-\frac{1}{6} (3) = 0

⇒ Simplify further

\frac{1}{2} -\frac{1}{2} =0

0 = 0

The solution x = 2 is correct

4 0
3 years ago
I could use any help as soon as possible in need this due tomorrow for exams
EastWind [94]
The answer woukd be 23
6 0
2 years ago
Read 2 more answers
write and solve the differential equation that models the following statment. "the rate if change of W with respect to x is prop
Vaselesa [24]

Answer:

\int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

Step-by-step explanation:

i)it is given that the rate of change of W with respect to x is proportional to          

     x + 18. Therefore \frac{dW}{dx} = k(x + 18) where k is a constant.

ii) Therefore \int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.

4 0
3 years ago
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