if p(x)=x2- x+1 find p(1),p(-1),p(0)
Answers
Step-by-step explanation:
p (1) = (1)^2-(1)+1
1-1+1
1
P (-1) = (-1)^2-(-1)+1
1+1+1
3
p (0)=(0)^2-(0)+1
0-0+1
1
just put the values of x
The values of p(1), p(-1), and p(0) are 1, 3, and 1 respectively.
Given:
The function p(x) = x²- x+1.
To Find:
p(1), p(-1), and p(0).
Solution:
We have been given a quadratic equation p(x) = x²- x+1. Note that since 'x' can take any value, x is the independent variable here. We have to find the value of the function when x takes values 1, -1, and 0.
i) At x = 1,
p(1) = 1² - 1 + 1 = 1
ii) At x = -1
p(-1) = (-1)² - (-1) + 1 = 1 + 1 + 1 = 3
⇒ p(-1) = 3
iii) At x = 0
p(0) = 0² - 0 + 1 = 1
⇒ p(0) = 1.
Hence, the values of p(x) at x = 1, -1, and 0 are 1, 3, and 1 respectively.
∴ The values of p(1), p(-1), and p(0) are 1, 3, and 1 respectively.
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