Question

2x³+x²-2x-1 factor therome​

Answer 1

P(x) = 2x³ + x² -2x -1 and g(x) = x+1

Therefore, the division is provided in the attachement.

==> we get a equation

2x² - x -1 =0

==> 2x² -2x + x -1 = 0

==> 2x( x - 1) +1(x - 1) = 0

==> (2x + 1)(x - 1) = 0

==> x = -1/2 or x = 1 is the required answer

Answer 2

Answer:

➪ 2x^3 + x^2 - 2x - 1

➪ x^2 ( 2x + 1 ) - 1 ( 2x + 1 )

➪ ( 2x + 1 ) ( x^2 - 1 )

➪ ( 2x + 1 ) ( x^2 - 1^2 )

( 2x + 1 ) ( x - 1 ) ( x + 1 ) ✔︎