Question

factories:
$2x {}^{ 3} - 5x {}^{2} - 19x + 42$
please answer fast its urgent ​

Answer 1

Answer:

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

Step-by-step explanation:

Given Equation is : 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 + 6x - 7x - 21)

⇒ (x - 2)[2x(x + 3) - 7(x + 3)]

⇒ (x - 2)(x + 3)(2x - 7)

Hope it helps!

Answer 2

Answer:

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

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

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

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

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

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

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

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

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

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

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