Question

please answer this ques ​

Answer 1

Answer:

   a = -37   and   b = 26

Step-by-step explanation:

Let's write f(x) = x³ + 10x² + ax + b.

    f(x) is exactly divisible by x-1

⇒  f(1) = 0

⇒  1 + 10 + a + b = 0

⇒  a + b = -11      ...(*)

    f(x) is exactly divisible by x-2

⇒  f(2) = 0

⇒  8 + 40 + 2a + b = 0

⇒  2a + b = -48      ...(**)

Subtracting (*) from (**) gives

   a = -48 + 11 = -37

Then (*) gives

   b = -11 - a = -11 + 37 = 26.

Hope that helps!