Question

If p(x) = x^2-4x+3 , evaluate: p(2) - p(-1) + p(1/2)

Answer 1

Answer: -33/4

Step-by-step explanation solution is in image

Answer 2

Answer :

-8

Step-by-step explanation :

p(x) = x² - 4x + 3

p(2) = 2² - 4 * 2 + 3

p(2) = 4 - 8 + 3

p(2) = 7 - 8

p(2) = -1

Now, for x = -1

p(x) = x² - 4x + 3

p(-1) = ( -1 )² - 4 ( - 1 ) + 3

p(-1) = 1 + 4 + 3

p(-1) = 8

And, for x = 1 / 2

p(x) = x² - 4x + 3

p(1/2) = (1/2)² - 4 ( 1/2 ) + 3

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

p(1/2) = 1 / 4 + 1

p(1/2) = 1 + 4 / 4

p(1/2) = 5 / 4

To Find :

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

⇒ - 1 - 8 + 5 / 4

⇒ - 9 + 5 / 4

⇒ - 36 + 5 / 4

⇒ - 32 / 4

⇒ - 8

Hence, the answer is (- 8).