Question

Read the question carefully and then tell the answer i will surely do brainliest if wright

Answer 1

Given p(x) = 2x^4 - 5x^3 + 2x^2 - x + 2.

= >  x^2 - 3x + 2

= >  x^2 - 2x - x + 2

= > x(x - 2) - (x - 2)

= >  (x - 1)(x - 2)


Now,

if p(1) and p(2) = 0, then p(x) is exactly divisible by f(x).

= > p(1) = 2(1)^4 - 5(1)^3 + 2(1)^2 - 1 + 2

            = 2 - 5 + 2 - 1 + 2

            = -2 + 2

            = 0.



= > p(2) = 2(2)^4 - 5(2)^3 + 2(2)^2 - 2 + 2

             = 32 - 40 + 8 - 2 + 2

             = 0.



Therefore p(x) is divisible by x^2 - 3x + 2.



Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks