Question

Use factor theorem to determine whether (x-1).
is a factor of x^3 - 2x² + 5x-4 or not​

Answer 1

AnsweR :-

${x}^{3} - 2x^{2} + 5x - 4$

$\sf x - 1 = 0$

$\sf x = 0 + 1$

$\sf x = 1$

$\sf p(1) = {1}^{3} - 2(1)^{2} +5(1) - 4$

$\sf p(1) = 1 - 2 + 5 - 4$

$\sf p(1) = 0$

Procedure :-

→ In this question first we need to find the zero of x-1 that will be 1. we have put -1 because when we transpose any number to the other side it sign change.

→ after that we will put 1 in place of x and then we will equate the whole equation. After equating the whole equation the final answer we get as 0.

→ and hence x-1 is the factor of the above equation.

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