Find the polynomial satisfying the given set of conditions:
The first degree polynomial with P(1)=1 and P(3)=2
A1/2x + 1/2
Bx + 1
Cx - 1
D2x + 1
Answer:
A. 1/2x + 1/2
Read Explanation:
The first degree polynomial with P(1)=1 and P(3)=2:
P(x) = ax + b
P(1)= 1
⇒ a + b = 1 .......(1)
P(3)= 2
⇒ 3a + b = 2 ......(2)
From (1) and (2)
2a = 1 ⇒ a = 1/2
from (1) b = 1/2
So P(x) = ax + b = 1/2x + 1/2
