Question

Factorise 2x^3 - 5x^2 - 19x + 4​

Answer 1

Step-by-step explanation:

Answer:

$\huge\underline\textsf{Question:- }$

$\boxed{\sf2x ^{3} - 5x {}^{2} - 19x + 42}$

$\huge\underline\textsf{Explantion:- }$

$\leadsto\sf\red{2x {}^{3} - 4x {}^{2} - x {}^{2} + 2x - 21x + 42}$

$\leadsto\sf\orange{2x {}^{2} (x - 2) - x(x - 2) - 21(x - 2)}$

$\leadsto\sf\purple{(x - 2)(2x {}^{2} - x - 2)}$

$\leadsto\sf\blue{(x - 2)(2x {}^{2} + 6x - 7x - 21)}$

$\leadsto\sf\pink{(x - 2)(2x {}^{2} + 6x - 7x - 21)}$

$\leadsto\sf\orange{(x - 2)[(2x(x + 3) - 7(x + 3)]}$

$\leadsto\sf\red{(x - 2)(2x - 7)(x + 3)}$

$\large\underline\textsf{\green{Ans.(x - 2)(2x - 7)(x + 3)} }$

Answer 2

Answer:

Question ⤵

Factorise 2x^3 - 5x^2 - 19x + 4

$\huge\underline\mathcal\red{♡ĂnSwer♡}$

=> 2x³ - 5x² - 19x + 42

=> 2x³ - 4x² - x² + 2x -21x + 42

=> 2x²(x - 2) -x(x - 2) - 21(x - 2)

=> (x - 2) ( 2x² - x - 21)

=> (x - 2) ( 2x² - 7x + 6x - 21)

=> (x - 2) ( 2x² + 6x - 7x - 21)

=> (x - 2) ( 2x( x + 3) -7( x + 3) )

=> (x - 2) (2x - 7) (x + 3)

Thanks..