Question

if p(x)=x raise to power 2-4x+3 then evaluate: p(2)+p(1/2)-p(-1)

Answer 1

Hi,

Here is your answer !
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p(x) = x² - 4x + 3
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→ p(2) = (2)² - 4(2) + 3

= 4 - 8 + 3 = -1
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→ p(1/2) = (1/2)² - 4(1/2) + 3

= 1/4 - 2 + 3 = 1/4 + 1 = 5/4
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→ p(-1) = (-1)² - 4(-1) + 3

= 1 + 4 + 3 = 8
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Now,

p(2) + p(1/2) - p(-1) = -1 + 5/4 - 8

= -9 + 5/4 = (-36 + 5)/4

= -31/4

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Answer 2

Hiii friend,

P(X) = 0


X²-4X +3 = 0


P(2) = 0


(2)² - 4 × 2 +3 = 0

4 - 8 +3 = 0

7-8 = -1


P(1/2) = 0


(1/2)² - 4 × 1/2 + 3 = 0

1/4 - 4/2 + 3 = 0

1 - 8 + 12/4 = 0


13-8 = 0×4


5

And,


P(-1) = 0


(-1)² - 4 × -1 + 3

1 +4 + 3

8


Therefore,


P(2) + P(1/2) - P(-1)


=> -1 + 5 - 8



=> -9 +5


=> -4



HOPE IT WILL HELP YOU....... :-)