Question

find the value of p for which the polynomial x cube minus 3 X square + 3 x minus P is exactly divisible by x minus 2​

Answer 1

Step-by-step explanation:

x-2

x=2

x cube-3x square+3x-P

2 cube-3(2) square+3(2)-P

8-12+6-P=0

14-12-P=0

2-P=0

-P=-2

minus se minus cut

P=2

hope it helps

Answer 2

Step-by-step explanation:

${x}^{3} - 3 {x}^{2} + 3x - p \: \: \\ \\ (x - 2) \: is \:f actor... \\ \\ therefore \: \: x = 2 \\ \\ {2}^{3} - 3 ( {2}^{2} ) + 3(2) - p = 0 \\ \\ 8 - 12 + 6 - p = 0 \\ \\ 2 - p = 0 \\ \\ - p = - 2 \\ \\ p = 2$

hope it helps...........✌✌