Factor: 21x^3+6x^2+7x+2 I will give Brainliest to the first person :) please show all work
Factor: 21x^3+6x^2+7x+2 I will give Brainliest to the first person - 1

Answers

Answer 1
Answer:

Answer:

(3x^2+1)*(7x-2)

Step-by-step explanation:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((21 • (x3)) -  (2•3x2)) +  7x) -  2

STEP

2

:

Equation at the end of step

2

:

 (((3•7x3) -  (2•3x2)) +  7x) -  2

STEP

3

:

Checking for a perfect cube

3.1    21x3-6x2+7x-2  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  21x3-6x2+7x-2

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  7x-2

Group 2:  21x3-6x2

Pull out from each group separately :

Group 1:   (7x-2) • (1)

Group 2:   (7x-2) • (3x2)

              -------------------

Add up the two groups :

              (7x-2)  •  (3x2+1)


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6 children need to share 5 breakfast bars Divide bars into correct numbers of equal parts then tell the fraction each kid will get

Answers


-- Carefully cut each bar into  6  equal pieces.
   There are  (5 x 6) = 30 pieces all together.
   Each piece is  1/6  of a bar.

-- Each child gets  5  of the pieces.
   That's the same as  5/6  of a whole bar.
   (6 children) x (5 pieces) = 30 pieces.    It works out.  yay !


An accurate clock shows exactly 3 pm. In how many minutes will the minute hand catch up with the hour hand?

Answers

Roughly about 3:17 . Hope I helped!
Hour: 3
Minute: 12

So about 3:17 to 3:18
3:17/18
Hour: 3, 1/4
Minute: 3, 1/4
3, 1/4 means it's on 3 and a quarter passed through :)

Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x − 2, y + 8) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

Answers

The new coordinates are A(-4, 10), B (-4, 12), C (0, 12) and D (0, 10). If you were to connect these, it would take the shape of a rectangle. 

What is a difference of squares that has a factor of x + 8?Complete the expression:

x2 – _____

Answers

Answer:

The missing value of 64 or 8². The complete expression is x²- 64 or x²- 8².

Step-by-step explanation:

It is given that the difference of squares has a factor of x + 8.

The given expression is

x²- _____

Let the missing term in the given expression be a².

Using the algebraic formula, we get

x^2-a^2=(x-a)(x+a)

It is given that one factor of the given expression is (x+8).

x+a=x+8

a=8

It means the value of a is 8 and the missing value of 64 or 8².

Therefore the complete expression is x²- 64 or x²- 8².

x2-64

Explanation:
The factors of x2-64 are x+8 and x-8. When the factors are multiplied together, they give:
(x+8)(x-8)= x2-8x+8x-64.
-8x+8x gives a zero. This leaves x2-64 which is a difference of two squares.

If a roof's slope is 0.5, how high will the roof rise over a 17-foot run?a). 8 1/2 feet
b). 17feet
c). 1/34 feet
d). 34 feet

Answers

The answer to the mathematics question presented above would be letter a) 8 and 1/2 feet. If a roof's slope is 0.5, the height of the rise of the roof over a 17 foot run would be 8 and 1/2 feet. I got this answer through multiplying the slope and the run to get the rise. 
Answer a) 8 and half feet.

You calculate it in this way

slope = rise / run ⇒ rise = slope * run = 0.5 * 17 feet = 8.5 feet.

Pablo wrote four division equations with 6 as the quotient. what could have been the four division equations he wrote?

Answers

(18)/(3)=6 \n \n (12)/(2)=6 \n \n(6)/(1)=6