Which polynomial has (3x + 2) as a binomial factor? 6x3 + 3x2 + 4x + 2 12x2 + 15x + 8x + 10 18x3 – 12x2 + 9x – 6 21x4 + 7x3 + 6x + 2

Answers

Answer 1

Answer:

If binomial (3x+2) is a factor of some polynomial, then number $x=-(2)/(3)$ is this polynomial's root. Check all polynomials:

A. For the polynomial $6x^3 + 3x^2 + 4x + 2,$

$6\left(-(2)/(3)\right)^3 + 3\left(-(2)/(3)\right)^2 + 4\left(-(2)/(3)\right) + 2=-(16)/(9)+(4)/(3)-(8)/(3)+2=-(10)/(9)\neq 0.$

B. For the polynomial $12x^2 + 15x + 8x + 10,$

$12\left(-(2)/(3)\right)^2 + 23\left(-(2)/(3)\right) + 10=(16)/(3)-(46)/(3)+10=0.$

C. For the polynomial $18x^3-12x^2 + 9x-6,$

$18\left(-(2)/(3)\right)^3 -12\left(-(2)/(3)\right)^2 + 9\left(-(2)/(3)\right) -6=-(16)/(3)-(16)/(3)-6-6\neq 0.$

D. For the polynomial $21x^4 + 7x^3 + 6x + 2,$

$21\left(-(2)/(3)\right)^4 +7\left(-(2)/(3)\right)^3 +6\left(-(2)/(3)\right) +2=(112)/(27)-(56)/(27)-4+2\neq 0.$

Answer: correct choice is B

Answer 2

Answer:

Answer:

B 12x2 + 15x + 8x + 10

Step-by-step explanation:

Did it

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I honestly have no idea how to solve this question
8c=5c+21

Answers

Remember this rule: Whenever you try to isolate the variable do the same operation to both sides
Using the rule above subtract 5c from both sides getting 3c = 21
Divide by 3 to both sides
Now you have c = 7
Thats you answer, if you have anymore questions just PM me

Well, subtract 5c from both sides, so cross out 5c and do 8c-5c which is 3c. S 3c=21. 21 divided by 3 is 7. So c is. 7.

$16 for 2 tickets; $40 for 5 tickets

Answers

16:2 and 40:5. These are ratios.

$16 and 2 tickets for the unit rate is 8/1.
$40 and 5 tickets for the unit rate is 8/1

$16 for 2 tickets:
$16/ 2 tickets= $8/ticket.

$40 for 5 tickets:
$40/ 5 tickets= $8/ticket

The unit rate is $8/ ticket.

Write an expression for the words - Divide 10 by 4 and then subtract 6.2

Answers

(10/4) - 6.2

10 divided by 4, do that first because it's in the parenthesis, then subtract 6.2 from it.

all you have to do it (10/4)-6.2

During a science experiment, Peter found the temperature of a certain liquid to be −a∘ Centigrade after he had raised the temperature by x degrees.Write an expression to represent the temperature of the liquid at the start of the experiment, before it was raised.

Answers

The original temperature was 'x' degrees below '-a'. That's (-a - x), or -(a+x).

Answer:

Step-by-step explanation:

Explain why 2 x 3/8 is equivalent to 2 x 3 x 1/8 ?

Answers

If you put the 2 over 1 in 2 x 3/8 and multiply cross like normal fractions, you will get 6/8. This reduces to 3/4. Similarly, if you multiply 2 x 3, you get 6. Put the 6 over 1 and multiply by 1/8 to get 6/8 as an answer which reduces to 3/4 as well.

2x + 3 = 8

Transpose 3

2x + 3 - 3 = 8 - 3

2x = 5

Divide both sides of the equation by 2

2x / 2 = 5 / 2

x = 5 / 2

x = 2 1/2

What percent is equivalent to 1/25

A. 4%
B. 5%
C. 20%
D.25 %

Answers

Answer:

i believe its A.4%

Step-by-step explanation:

1÷25×100= 4%

So, the answer is A

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