Question

9. If P(x) = x² - 4x +3, evaluate P(2) - P(-1)+P(1/2)​

Answer 1

ANSWER :- ( -31/4)

Step-by-step explanation:

$p(x) = x {}^{2} - 4x + 3 \\ p(2) = 2 {}^{2} - 4(2) + 3 \\ \: \: \: \: \: \: \: \: \: = 4 - 8 + 3 = - 1 \\p ( \frac{1}{2} ) = ( \frac{1}{2} ) {}^{2} - 4( \frac{1}{2} ) + 3 \\ \: \: \: \: \: \: \: \: \: \: = \frac{1}{4} - 2 + 3 = \frac{1 - 8 + 12}{4} \\ \: \: \: \: \: \: \: \: \: = \frac{5}{4} \\ p( - 1) = - 1 {}^{2} - 4( - 1) + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 1 + 4 + 3 = 8 \\ p(2) - p( - 1) + p( \frac{1}{2} ) = \: \: \\ = - 1 - 8 + \frac{5}{4} \\ = \frac{ - 4 - 32 + 5}{4} \\ = \frac{5 - 36}{4} \\ = \frac{ - 31}{4}$

Answer 2

ANSWER :–

p(2) - p(-1) + p(½) = -31/4

EXPLANATION :–

GIVEN :–

A function p(x) = x² - 4x + 3.

TO FIND :–

P(2) - P(-1) + P(½) = ?

SOLUTION :–

• Let's put x = 2 in given function –

=> p(2) = (2)² - 4(2) + 3

=> p(2) = 4 - 8 + 3

=> p(2) = -1

• Now put x = -1 in given function –

=> p(-1) = (-1)² -4(-1) + 3

=> p(-1) = 1 + 4 + 3

=> p(-1) = 8

• Now put x = ½ in given function –

=> p(½) = (½)² -4(½) + 3

=> p(½) = ¼ + 1

=> p(½) = 5/4

● Now let's calculate –

=》 p(2) - p(-1) + p(½) = -1 - 8 + (5/4)

=》 p(2) - p(-1) + p(½) = - 31/4