Question

Raghu tells his daughter that his age (in years) is equal to p(x) = x3 + 2x2 + 5x +

9 and age of his daughter is g(x) = 2x2

- 6x + 7.

(a) What is the degree of polynomial p(x)?​

Answer 1

Answer:

Given, P(x)=(x−3)(x−5)Q(x)+(ax+b)

Also given, P(3)=10 and P(5)=6

⇒3a+b=10 ...(i)

And 5a+b=6 ...(ii)

Subtracting both the equations, we get

a=−2

Putting this value in equation (i) we get

3(−2)+b=10

⇒b=10+6

⇒b=16

Thus a=−2 and b=16

Therefore, remainder −2x+16.

Video Explanation