All categories

3 years ago

Find the binomial factors for x^3-x^2-x+1

Mathematics

1 answer:

victus00 [196]3 years ago

6 0

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

You might be interested in

A recipe uses 4 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be

Sidana [21]

Answer:

160 servings

Step-by-step explanation:

32 cups = 2 gallons

4 * 8 = 32

20 * 8 = 160 servings

Your welcome!

Kayden Kohl

8th Grade Student

7 0

3 years ago

A hand consists of 3 cards from a well shuffled deck of 52 cards. a.Find the number of possible 3 card poker hands. b.A club flu

d1i1m1o1n [39]

Answer:

idk

Step-by-step explanation:

iidkdisiisididisisisdk

8 0

3 years ago

Which is equivalent to V180x11 after it has been simplified completely?

inna [77]

Question:

Which is equivalent to $\sqrt{180x^{11}}$ after it has been simplified completely?

Answer:

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

Step-by-step explanation:

Given

$\sqrt{180x^{11}}$

Required

Simplify

We start by splitting the square root

$\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}$

Replace 180 with 36 * 5

$\sqrt{180x^{11}} = \sqrt{36 * 5} * \sqrt{x^{11}}$

Further split the square roots

$\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} * \sqrt{x^{11}}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{11}}$

Replace power of x; 11 with 10 + 1

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10 + 1}}$

From laws of indices; $a^{m+n} = a^m * a^n$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x^1}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10} * x}$

Further split the square roots

$\sqrt{180x^{11}} = 6*\sqrt{5} * \sqrt{x^{10}} * \sqrt{x}$

From laws of indices; $\sqrt{a} = a^{\frac{1}{2}}$

So, we have

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{10*\frac{1}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{\frac{10}{2}} * \sqrt{x}$

$\sqrt{180x^{11}} = 6*\sqrt{5} * x^{5} * \sqrt{x}$

Rearrange Expression

$\sqrt{180x^{11}} = 6 * x^{5} * \sqrt{5} * \sqrt{x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}$

From laws of indices; $\sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}$

So, we have

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}$

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

The expression can no longer be simplified

Hence, $\sqrt{180x^{11}}$ is equivalent to $6x^{5}\sqrt{5x}$

7 0

2 years ago

Read 2 more answers

6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

Lelu [443]

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

For top part

Length = 10 inches

Width = 5 inches

Height = 6 inches

As we know:

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times5\times6=300\ cubic\ inches$

For bottom part

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times9\times6=540\ cubic\ inches$

Volume of two steps = 300 + 540 = 840 cubic inches

Therefore, the volume of the steps are 840 cubic inches.

8 0

3 years ago

Agent

LiRa [457]

Answer: -6 Your welcome

Step-by-step explanation: I just did it and got a 100

6 0

3 years ago

Read 2 more answers