Question

if p(x) = x² - 4x +3 , evaluate p(2)-p(-1)+p(1/2)

Answer 1

Please see the attachment

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

We have p(x) = x² - 4x + 3

p(2) - p(-1) + p(1/2)

= (2² - 4 × 2 + 3) - {(-1)² - 4(-1) + 3} + {(½)² - 4 × ½ + 3}

= (4 - 8 + 3) - (1 + 4 + 3) + (¼ - 2 + 3)

= - 1 - 8 + ⁵/₄

= - 9 + ⁵/₄

= (-36 + 5)/4

= -31/4 Ans.