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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:
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