Question

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

Answer 1

b. a and b are both 3

Explanation:

Answer 2

A and B are both 3.

Explanation:

The given polynomial is
`3x^4-18x^3+9x^2-54x`.

We factor the GCF to obtain:

`3x(x^3-6x^2+3x-18)`

We factor further by grouping to get:

`3x[x^2(x-6)+3(x-6)]`

`3x(x^2+3)(x-6)`

We compare this to the given factored expression:

`3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)`

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