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4 years ago

Which product of prime polynomials is equivalent to 8x3 – 2x?

Mathematics

2 answers:

Alexxx [7]4 years ago

7 0

2x2(2x+1)(2x-1) this is the answer I got.

d1i1m1o1n [39]4 years ago

5 0

Answer:

The factor form of the given polynomial is $2x(2x-1)(2x+1)$

Step-by-step explanation:

The given expression is

$8x^3-2x$

Taking out the common factor 2x.

$8x^3-2x=2x(4x^2-1)$

$8x^3-2x=2x((2x)^2-(1)^2)$

Using the algebraic formula:

$a^2-b^2=(a-b)(a+b)$

We get,

$8x^3-2x=2x(2x-1)(2x+1)$

All the factors are prime polynomial because they can not be factored further.

Therefore the factor form of the given polynomial is $2x(2x-1)(2x+1)$ .

You might be interested in

Pick the correct description of the line 3x + 3 = y

lbvjy [14]

M=3 therefore y is slanted right downwards

6 0

3 years ago

What is the value of the expression 10 + (fraction 1 over 2)4 ⋅ 48?

EleoNora [17]

Equation arrangement: 10 + [1/2]^4. 48
[1/2]^4 = 1/2 * 1/2 * 1/2 * 1/2 = 1/16
10 + [1/16] * 48
According to the law of BODMAS, we have to carry out multiplication operations before we carry out addition operations, therefore, we now have.
[1/16] * 48 = 3
Then, 10 +3 =13.
Thus, the final answer is 13.

5 0

3 years ago

PLEASE HELP!! I WILL AWARD BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!!!!! For the given picture: a) List all of the triangles th

PIT_PIT [208]

Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters. If your teacher just wants one, it would be the middle one. (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB. For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD. For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO. For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB. For OBF, it’s BOC and OCB

Step-by-step explanation:

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB. For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD. For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO. For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB. For OBF, it’s BOC and OCB

6 0

3 years ago

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

svp [43]

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

5 0

3 years ago

PLSSS HELP ME!!!!!!!!!!! I WILL MARK U!!!!!

max2010maxim [7]

Answer:

Step-by-step explanation:

you're using the pythagorean theorem

8 0

3 years ago