Question

factor theorem factorization find out if the following polynomial is a factor of f (x)​

Answer 1

QuestioN :

Factor Theorem factorisation :

f( x ) = x³ - 3x² + 4x - 12 , g( x ) = x - 3.

SolutioN :

We have,

★ F( x ) = x³ - 3x² + 4x - 12.

★ g( x ) = x - 3.

$\begin{array}{ccccc} x^2 + 4 &&&&&\\ \cline{1-5}x^3- 3x^2 + 4x - 12&&&&& \\ x^3 - 3x^2&&&&&\\ \cline{1-5} & 4x -12 &&&& \\ &4x -12&&&& \cline{1-5} & &0&&&\end{array}$

Let's factorisation by Factor Theorem.

Let,

• Dividend ( x³ - 3x² + 4x - 12 )
• Division ( x - 3 )
• Quotient ( x² + 4 )
• Remainder ( 0 )