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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.


*The answer is NOT D. B and C are both negitive

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Answer:

A and B are both 3.  

Step-by-step explanation:

The given polynomial is [tex]3x^4-18x^3+9x^2-54x[/tex].

We factor the GCF to obtain:

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

We factor further by grouping to get:

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

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

We compare this to the given factored expression:

[tex]3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)[/tex]

We must have A=3,B=3, C=-6

Answer:

b. a and b are both 3

Step-by-step explanation:

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