Which polynomial is prime? A. 7x^2 – 35x + 2x – 10
B. 9x^3 + 11x^2 + 3x – 33
C. 10x^3 – 15x^2 + 8x – 12
D. 12x^4 + 42x^2 + 4x^2 + 14

Answers

Answer 1
Answer:

Answer:

C.9x^(3)+11 x^(2) +3x-33

Step-by-step explanation:

A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:

A. 7x^(2) -35x+2x-10

In this case we have 4 terms, so we can use Grouping:

Part a:

7x^(2) -35x

We're going to use Greatest common factor:

=7x^(2) -7.5x\n=7x(x-5)

Part b:

2x-10

In this part we also use greatest common factor:

2x-10=2x-2.5\n=2(x-5)

Then,

7x^(2) -35x+2x-10=\n 7x(x-5)+2(x-5)=\n =(7x+2)(x-5)

This polynomial is not prime.

B.9x^3 + 11x^2 + 3x-33

This polynomial cannot be factorized then it's prime.

C.10x^3-15x^2 + 8x-12

In this polynomial we can use grouping too:

Part a:

10x^3 -15x^2=2.5x^3-3.5x^2\n=5x^2(2x-3)

Part b:

8x-12=4.2x-4.3\n=4(2x-3)

Then,

10x^3-15x^2 + 8x-12=\n=5x^2(2x-3)+4(2x-3)\n=(5x^2+4)(2x-3)

This polynomial isn't prime.

D. 12x^4 + 42x^2 + 4x^2 + 14

First we're going to use Greatest common factor:

12x^4 + 42x^2 + 4x^2 + 14=\n2.6x^4+2.21x^2+2.2x^2+2.7=2(6x^4+21x^2+2x^2+7)

Now we're going to apply grouping on the terms inside of the parenthesis:

6x^4+21x^2+2x^2+7

Part a:

6x^4+2x^2=2.3x^4+2x^2=2x^2(3x^2+1)

Part b:

21x^2+7=7.3x^2+7=7(3x^2+1)

Then,

6x^4+21x^2+2x^2+7=2x^2(3x^2+1)+7(3x^2+1)\n=(2x^2+7)(3x^2+1)

Remember that at the beginning we use Greatest common factor:

12x^4 + 42x^2 + 4x^2 + 14=\n=2.(6x^4+21x^2+2x^2+7)\n=2(2x^2+7)(3x^2+1)

This polynomial isn't prime.

Answer 2
Answer:

Answer:

B not C  9x^3 + 11x^2 + 3x - 33

Step-by-step explanation:


Related Questions

7. Find the value of:a) The number when 40% of the number is 10
Derivative of R=(100+50/lnx)
A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *0 points
If F(x)=2x^2+3, then which of the following represent f(x+1). A.2x^2+2. B. X^2+3. C. 2x^2+4x+1. D. 2x^2+4x+5
Q1 Use desmos to construct a histogram for the following data set. Thendescribe the shape of the distribution.** Provide a screenshot of your graph80, 84, 68, 64, 57, 88, 61, 72, 76, 80, 83, 77, 78, 82, 65, 70, 83,7873, 79, 70, 62, 69, 66, 79, 80, 86, 82, 73, 75, 71, 81, 74, 83, 77, 73

The probability that Emma has heart disease is 0.6. She decides to take a test for the disease that is 80% accurate. What is the probability that Emma has heart disease and the test predicts heart disease?

Answers

Answer:

The probability that Emma has heart disease and the test predicts heart disease is:

                                48%

Step-by-step explanation:

Let A denote the event that Emma has a heart disease.

and B denote the event that the test predicts accurate.

Hence, A∩B denote the event that Emma has heart disease and the test predicts heart disease.

From the given equation we have:

             P(A)=0.6

and P(B)=80%=0.8

As we know that event A and event B are independent.

Hence, we have:

P(A∩B)=P(A)×P(B)

⇒  P(A∩B)=0.6×0.8

⇒  P(A∩B)=0.48=48%

                Hence, the probability is:

                           48%

0.6 x 0.8 = 12/25 The probability that Emma has heart disease and the test predicts it is 48%

Absolute value of -3.47 ?

Answers

Answer: 3.47

Step-by-step explanation:

Absolute value is distance from zero.

Find ratio equal to 12:7

Answers



12:7
12(2):7(2)
24:14

12:7 = 24:14
I hoped I helped(:
12:7
You can multiply it by like anything so....
Like if you multiply it by two it will equal
24:14
Or by 3
36:21
It by 4
48:28
It really doesn't matter which one because all the ratios that I just gave you are all equal to 12:7
I really hope I helped

Which expressions are equivalent to 5^3*5^x?

Answers

5^(3 + x) as when powers are multiplied you add the power

How do you find the spread on a dot plot

Answers

The spread is the minimum value to the maximum value. The range is the maximum minus the minimum value hope that helps

What is the square root of 14x15

Answers

√(14\cdot15)=√(2\cdot7\cdot3\cdot5)=\n\vdots\ Any\ number\ does\ not\ repe at\ \vdots\n\n=√(210)\n\n\n√(210)\approx14.4914
well I know 14 times 15 = 210 but I cant tell what is a square root since I am just in 4th grade.