All categories

2 years ago

Factor 125x^3-1000. Show your work.

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

4 0

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

You might be interested in

What’s is 17 subtract 75

Taya2010 [7]

-58 is your answer.
17 - 75 = -58
I hope this helps!

6 0

2 years ago

Read 2 more answers

Find the value of the variable.

Alinara [238K]

Answer:

x = 25√2, y = 25

Step-by-step explanation:

x = 25(√2) = 25√2

y = 25

8 0

2 years ago

Read 2 more answers

The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey method is most likely to provide a bi

Luden [163]

Answer:

7) A school group is assigned to survey vast museum collections of all macroscopic (not microscopic) animal species collected from various regions around the world. What observation are the students most likely to make? A) The majority of the animals are wormlike. B) The majority of the animals possess a …

Step-by-step explanation:

4 0

2 years ago

Identify the variable expression that is not a polynomial.

alexira [117]

Answer:

B. $3\sqrt x -2$

Step-by-step explanation:

Option B is the correct answer

3 0

2 years ago

Read 2 more answers

Determine if x - 2 is a factor of p(x) = x4 - 3x2 + 2x - 8, and explain why.

Natali [406]

Answer:

If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0

Solution:

According to factor theorem of polynomials,

x-a is a factor of polynomial p(x), if and only p(a)=0

Step 1:

Since x-2 is factor of p(x),

x - 2 = 0

x = 2

Step 2:

$p(x) = x^{4} - 3 x^{2} + 2 x - 8 ------ (equation 1)$

By substituting x = 2 in equation 1,

$p(x) = 2^{4} - 3(2)^{2} + 2(2) - 8$

p(x) = 16 - 3(4 ) + 4 -8

p(x) = 16 - 12 - 4

p(x) = 16 - 16

p(x) = 0

Since x - 2 is a factor of p(x) , we get p(x)=0

7 0

3 years ago