Question

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

Answer 1

Answer:

the answer is

p (2) -p (-1) +p (1/2).= -31/4

Answer 2

Topic:-

Polynomials

Given :-

$p(x) = x^2 -4x +3$

To find :-

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

SOLUTION :-

Lets find one by one. First we find value of p(2)

$p(x)= x^2-4x+3$

p(2) means In the place of x we have to substitute 2 then we get the value of p(2)

So,

$p(x)= x^2-4x+3$

$p(2) = (2)^2-4(2) +3$

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

$p(2) = 7-8$

$p(2) = -1$

Now we find p(-1) that means In place of x if we substitute -1 then we get the value of p(-1)

$p(x) = 4x^2-4x +3$

$p(-1) = (-1)^2-4(-1) +3$

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

$p(-1) =8$

Now we find p (1/2) that means In place of x If we substitute 1/2 then we get the value of p(1/2)

$p(x) = x^2-4x +3$

$p(1/2)= \bigg(\dfrac{1}{2} \bigg)^2 - 4\bigg( \dfrac{1}{2} \bigg)+3$

$p(1/2)= \dfrac{1}{4}-2+3$

$p(1/2)=\dfrac{1}{4}+1$

$p(1/2)=\dfrac{5}{4}$

Now,

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

$-1-8 +\dfrac{5}{4}$

$\dfrac{5}{4} -9$

$= \dfrac{-31}{4}$

So, the value of p(2) -p(-1) + p(1/2) = -31/4