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3 years ago

What is the complete factorization of the polynomial below

Mathematics

2 answers:

zepelin [54]3 years ago

7 0

Answer:

B. (x+4)(x+i)(x-i)

Step-by-step explanation:

Let $P(x)=x^3-4x^2+x-4$

We can factor this polynomial by grouping:

$P(x)=x^2(x-4)+1(x-4)$

We factor further to obtain:

$P(x)=(x^2+1)(x-4)$

$P(x)=(x^2-\sqrt{-1}^2)(x-4)$

We apply difference of two squares to get:

$P(x)=(x-i)(x+i)(x-4)$

Dovator [93]3 years ago

6 0

Answer:

(x+1)(x-1)(x+4)

Step-by-step explanation:

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Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2) , and X(1, −2) . Trapezoid WKLX is translated 4 units right and 3 uni

guapka [62]

Okay, so first of all, if the trapezoid was translated right 4,
Then all the (x)'s should be 4 more than the original value
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3 years ago

Read 2 more answers

What is 1/6x=4 in solving equations with rational coefficients

Debora [2.8K]

To solve an equation with a rational (fraction) coefficient you need to multiply both sides of the equation by the reciprocal (invert the fraction - flip it).

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3 years ago

joanne cannot decide which of two washing machines to buy. The selling price of each is $660. The first is marked down by 40%.

Alexxx [7]

Answer: The first machine would cost $420

and the second machine would cost $432

you should buy the first machine

Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.

Machine 1: 600(.70) = 420

Machine 2: A 10% discount means you pay 90%

600(.90) = 540 But now you get a 20% discount on that amount, which means you would pay 80%

So, 540(.80) = 432

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3 years ago

You rented a car on vacation to go sightseeing for a day. You had to pay $50 for the day and $.15 per mile, along with $35 for g

stellarik [79]

The number of miles for which the car has been driven if one paid $122.50 as in the task content is; 2.5 miles.

<h3>For how many miles was the car driven?</h3>

It follows from the task content that the total amount paid was; $122.50.

Hence, after subtraction the constant charges, for the day and for gas, the remainder is;

$122.50 - $50 - $35

= $37.50.

Ultimately, if the charge per mile is $15, then the number of miles driven is; $37.50/$15

= 2.5 miles.