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

Solution:

Given, p(x) = x² - 4x + 3

We have to evaluate p(2) - p(-1) + p(1/2)

p(2) = (2)² - 4(2) + 3

= 4 - 8 + 3

= 7 - 8

= -1

p(-1) = (-1)² - 4(-1) + 3

= 1 + 4 + 3

= 1 + 7

= 8

p(1/2) = (1/2)² - 4(1/2) + 3

= 1/4 - 4/2 + 3

= 1/4 - 2 + 3

= 1/4 + 1

= (1 + 4)/4

= 5/4

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

= -9 + 5/4

= (-36 + 5)/4

= -31/4

Therefore, p(2) - p(-1) + p(1/2) = -31/4

✦ Try This: If p(x) = 4x² - 6x + 4, evaluate : p(3) + p(1) + p(3)

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

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NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 8

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

Summary:

Trinomial is a type of polynomial that has three terms. If p(x) = x² - 4x + 3, then p(2) - p(-1) + p(1/2) is -31/4

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