Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3 9x2−54x Ax(x2 B)(x C) A and B are both 6. A and B are both 3. B and C are both positive. B and C are both negative.

Sagot :

Factor of Tomas' polynomial should give original polynomial when multiplied. In factored polynomial The value of A and B are both 3.

How to find the factors of polynomial?

Factors of the polynomial which are multiplied to produce the original polynomial. The polynomial which can not be factored is known as prime polynomial.

The standard form of the polynomial with highest power of 2 can be given as,

Given information-

The polynomial solved by the Tomas is,

[tex]3x^4-18x^3+ 9x^2-54x[/tex]

Here the highest power of given polynomial is 4.

The final product of the Tomas factored polynomial is,

[tex]Ax(x^2 +B)(x +C)[/tex]

Let the above equation is equation 1.

To convert the given polynomial into the above form, first simplify the it as,

[tex]3x(x^3-6x^2+3x-18)\\3x[x^2(x-6)+3(x-6)]\\3x(x^2+3)(x-6)[/tex]

Compare it with the equation, we get,

[tex]A=3\\B=3\\C=-6[/tex]

Hence, the value of A and B are both 3.

Learn more about the polynomial equation here;

https://brainly.com/question/2833285

Answer:

A and B are both 3.

Step-by-step explanation:

I just took the quiz.

Have the day you deserve :)