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Grace [21]
3 years ago
13

What is the factorization of the polynomial below? x^3-4x^2+45x

Mathematics
2 answers:
Fantom [35]3 years ago
8 0
Hope This Helps You!(

Mashutka [201]3 years ago
3 0
The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.

x³-4x²+45x = x(x² - 4x + 45)

If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial. 

The final answer is x(x² - 4x + 45).
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Curiously, during months when sales of beer are above average, sales of ice cream also tend to be above average; during months w
tiny-mole [99]

Answer:

A. For a lot of people, drinking beer causes a desire for ice cream, or vice versa.

Explanation:

We can conclude from the monthly sales that when a lot of people drink beer, a lot of people tends to take ice cream, and when less people take beer, less people tends to take ice cream, the fact shows that there is a correlation between the sales of beer and the sales of ice cream.

6 0
3 years ago
Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solu
Effectus [21]
-2|8-x|-6=-12 \ \ \ |\hbox{add 6} \\
-2|8-x|=-6 \ \ \ |\hbox{divide by (-2)} \\
|8-x|=3 \\
8-x=-3 \ \lor \ 8-x=3 \\
-x=-3-8 \ \lor \ -x=3-8 \\
-x=-11 \ \lor \ -x=-5 \\
x=11 \ \lor \ x=5 \\
\boxed{x=5 \hbox{ or } x=11}

It should be x=11 instead of x=-11, so he is not correct because he made a sign error.
6 0
3 years ago
Read 2 more answers
Which of the following can be used to find the volume of a rectangular prism with length 7.5 centimeters, width 2 centimeters, a
mart [117]

Answer:

  • C. V = 15 x 4.2
  • D. V = 7.5 x 2 x 4.2

Step-by-step explanation:

The volume is the product of the three dimensions, so can be figured as ...

  7.5 × 2 × 4.2 . . . . choice D

Carrying out the first multiplication, this will be equivalent to ...

  15 × 4.2 . . . . . . . . choice C

8 0
3 years ago
The eccentricity of the conic section
NeX [460]

The eccentricity of the conic section that is graphed is C. One.

<h3>What is eccentricity?</h3>

It should be noted that the eccentricity of the clinic section simply means the distance from the point to its focus.

In this case, the eccentricity of the conic section that is graphed is one. The eccentricity value is usually constant for any conics.

Learn more about graphs on:

brainly.com/question/19040584

#SPJ1

5 0
2 years ago
you had $22 to spend on three pretzels. After buying them you had $15.70.How much did each pretzel cost?
andreev551 [17]

Answer:

each pretzel costs about $2.10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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