Question

p[x]=x^2-5x+6.Find the value of 2p[1]-p[-2]+4p[1/2]

Answer 1

To find the value of the expression 2p[1]-p[-2]+4p[1/2], we first need to evaluate the function p(x) for the given values of x.

p(x) = x^2 - 5x + 6

p[1] = 1^2 - 5(1) + 6 = 2

p[-2] = (-2)^2 - 5(-2) + 6 = 20

p[1/2] = (1/2)^2 - 5(1/2) + 6 = 27/4

Now we substitute these values in the given expression:

2p[1] - p[-2] + 4p[1/2]

= 2(2) - 20 + 4(27/4)

= 4 - 20 + 27

= 11

Therefore, the value of the expression 2p[1]-p[-2]+4p[1/2] is 11