Question

find first degree polynomial in which p(1) = 11 and p(3) = 19​

Answer 1

Answer:

let the polynomial be p(x)

p(x) = ax + b (where a and b are constants)

p(1) = a + b = 1 – (1) (given in the question)

p(2) = 2a + b = 3 – (2) (given in the question)

by (1) and (2)

a = 2, b = -1

⇒p(x) = 2x – 1

Answer 2

Answer:

Step-by-step explanation:

let the polynomial be p(x)

p(x) = ax + b (where a and b are constants)

p(1) = a + b = 1 – (1) (given in the question)

p(2) = 2a + b = 3 – (2) (given in the question)

by (1) and (2)

a = 2, b = -1

⇒p(x) = 2x – 1