Question

please please help me

Answer 1

hey mate
here's ur answer
${x}^{2} - 3x + 2 \\ = {x}^{2} - x - 2x + 2 \\ = x(x - 1) - 2(x - 1) \\ = (x - 2)(x - 1)$
x= 1 or2
put the value of x in the equation
${2x}^{4} - {5x}^{3} + {2x}^{2} - x + 2 \\ = 2( {1})^{4} - 5( {1})^{3} + 2( {1})^{2} - 1 + 2 \\ = 2 - 5 + 2 - 1 + 2 \\ = 6 - 6 \\ = 0$
$= 2( {2})^{4} - 5 {(2)}^{3} + 2( {2)}^{2} - 2 + 2 \\ = 32 - 40 + 8 \\ = - 40 + 40 \\ = 0$
yes ,the number is exactly divisible by x^2-3x+2

hope it helps