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

Mathematics

2 answers:

wariber [46]3 years ago

7 0

Answer: C=-6

Step-by-step 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

Kay [80]3 years ago

4 0

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

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