Question

please tell me the answer of the question in the given photo as fast as possible please

Answer 1

factorise the problem and u will get the ans

Answer 2

Hope u like my process
=====================
To prove that,
=-=-=-=-=-=-=-=-
2x⁴ - 5x³ +2x² - x +2 is exactly divisible by x² - 3x +2

________________________
$2 {x}^{4} - 5 {x}^{3} + 2 {x}^{2} - x + 2 \\ \\ = 2 {x}^{4} - 6 {x}^{3} + {x}^{3} + 4 {x}^{2} - 3 {x}^{2} + {x}^{2} + 2x - 3x + 2 \\ \\ = 2 {x}^{4} - 6 {x}^{3} + 4 {x}^{2} + {x}^{3} - 3 {x}^{2} + 2x + {x}^{2} - 3x + 2 \\ \\ = 2 {x}^{2} ( {x}^{2} - 3x + 2) + x( {x}^{2} - 3x + 2) + 1( {x}^{2} - 3x + 2) \\ \\ = ( {x}^{2} - 3x + 2)(2 {x}^{2} + x + 1)$
Hence it can be clearly seen that
2x⁴ - 5x³ +2x² - x +2 is a multiple of x²-3x+2

Thus, 2x⁴ - 5x³+2x²-x+2 can be exactly divisible by x² - 3x +2.

[PROVED]
____________________________
HOPE THIS IS UR REQUIRED ANSWER

PROUD TO HELP YOU