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4 years ago

What is the complete factorization of the polynomial below? x3 - 4x2 + x - 4

Mathematics

1 answer:

romanna [79]4 years ago

6 0

Answer:

$\huge\boxed{x^3-4x^2+x-4=(x-4)(x^2+1)}$

Step-by-step explanation:

$x^3-4x^2+x-4\qquad\text{distributive}\\\\=x^2(x-4)+1(x-4)\\\\=(x-4)(x^2+1)\\\\/x^2+1-\text{is prime}/$

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What multiplies into 7 and adds up to -8

marshall27 [118]

What multiplies to 7 and adds up to -8?

What multiplies to 7?

1×7
and
-1×-7

Which of these add up to -8?

1+7=8 but not -8

-1+-7=-8 do this is right

A negative plus a negative will add up together since they are the same and make another negative number

Answer: -1 and -7 multiply to 7 and add up to -8

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3 years ago

A dog is 9 times as heavy as a cat, a hamster is 20 times as light as a cat, and a mouse is 6 times as heavy as the hamster. How

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Let the cat have a weight of x.

Then, the dog weighs 9x.

The hamster weighs x/20.

The mouse weighs 3x/10.

So, the dog is 9/(3/10) = 30 times as heavy.

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2 years ago

Find the missing terms in the sequence,

nexus9112 [7]

Answer:

It is really easy. First off you just subtract by 3

Step-by-step explanation: 21-3=18 and on.

3 0

3 years ago

Read 2 more answers

Multiply the binomials:<br><br> (3x + 4)(5x − 2)

seraphim [82]

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

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2 years ago

Each of the 14 students in the art club needs 4 1/4 ounces of paint for a project. The art store sells paint only in 8 ounce bot

Blababa [14]

Answer:

C-7

Step-by-step explanation:

Answer: The art club president need to buy 14 bottles of paint for the project.

Step-by-step explanation: Given that each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles.

We are to find the number of bottles of paint that the art club president need to buy for the project.

We will be using the unitary method to solve the given problem.

Number of bottles filled by 8 ounces of paint = 1.

So, the number of bottles filled by 1 ounce of paint is

So, the number of bottles filled by 4 ounces of paint will be

Now, number of bottles of paint needed by 1 student

Therefore, the number of bottles of paint needed by 14 students will be

Thus, the art club president need to buy 14 bottles of paint for the project.

7 0

3 years ago

Read 2 more answers