Find the remainder when [tex]2x^4 - 6x^3 + 2x^2 - x + 2[/tex] is divided by [tex]x + 2[/tex].

P ( x ) = 2 x 4 − 6 x 3 + 2 x 2 − x + 2 an d x 0 ​ = − 2 t h e re main d er : R ( x ) = 2 ( − 2 ) 4 − 6 ( − 2 ) 3 + 2 ( − 2 ) 2 − ( − 2 ) + 2 = = 2 ⋅ 16 − 6 ⋅ ( − 8 ) + 2 ⋅ 4 + 2 + 2 = 32 + 48 + 8 + 4 = 92

Answered by kate200468 | 2024-06-10

The answer to the problem would be 2x³-10x²+22x-45+92/(x+2) So the remainder is 92.

Answered by leeners | 2024-06-10

The remainder when the polynomial 2 x 4 − 6 x 3 + 2 x 2 − x + 2 is divided by x + 2 is 92 . This can be found using the Remainder Theorem by evaluating the polynomial at x = − 2 .
;

Answered by kate200468 | 2024-10-02