Question

Tomas factored the polynomial completely. What is the value of C?

3x4 – 18x3 + 9x2 –54x
Ax(x2 + B) (x + C)

Answer 1

3x^4 – 18x^3 + 9x^2 –54x = 3x(x^2 + 3)(x - 6)

A = 3
B = 3
C = -6

The value of C is -6

Answer 2

Answer: C=-6

Explanation:

Given polynomial =
`3x^4-18x^3+9x^2-54x`

To factorize it , make pairs of terms and take greatest common factor out.

`3x^3(x-6)+9x(x-6)\\=(x-6)(3x^3+9x)\\=(x-6)3x(x^2+3)\ or\ 3x(x^2+3)(x-6)`

On comparing corresponding terms of above factorized polynomial with
`Ax(x^2+B)(x+C)`, we get

A=3 , B=3 and C=-6

hence, the value of C=-6