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Deffense [45]
3 years ago
13

Complete factorization of x^3 - 4x^2 + x - 4

Mathematics
2 answers:
zalisa [80]3 years ago
7 0

Answer:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Step-by-step explanation:

Hope this helped have an amazing day!

Pachacha [2.7K]3 years ago
3 0

Step-by-step explanation:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Since the quadratic factor (x² + 1) is irreducible any further, this is our answer.

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Find three consecutive odd integers whose sum is 495.
dedylja [7]

The three consecutive odd integers whose sum is 495 are 163, 165, and 167.

What are consecutive numbers?

⇒ Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each subsequent integer is 1, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

What are consecutive odd integers?

⇒ Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.

Calculation:

We are going to take an odd number, x, write its subsequent consecutive numbers, add all of them together, then equate them to  495 to find the number. The equation for x is then resolved.

We have been given that the sum of 3 consecutive odd numbers is equal to 495.

Let the first consecutive odd integer is x.

⇒ Then the next consecutive odd integers becomes x + 2 and the next term becomes x + 2 + 2 = x + 4.

Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.

According to the given,

3x + 6 = 495

3x=489

x=163

⇒ Hence, the three consecutive odd integers whose sum is 495 are 163, 165, and 167.

Learn more about consecutive numbers here: brainly.com/question/10853762

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2 years ago
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Which list is in order from least to greatest?
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The 3rd one because when you find the absolute value of a number, it will always be positive. So the list would be 3.5, 4.2, 9
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Solution:

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AysviL [449]

Answer:

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Step-by-step explanation:

I don't see the graph, but you can solve by factoring:

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By the factor theorem, the solutions of f(x) are -1, 3, and -3.

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