Question

P(x) = x ^3- 3x² + 4x +10
divide by
g(x) = x+1.​

Answer 1

Question :

Divide p(x) = x³ - 3x² + 4x + 10 by g(x) = x + 1

Solution :

Dividing p(x) = x³ - 3x² + 4x + 10 by g(x) = x + 1,

Root of the equation g(x),

=> x + 1 = 0

=> x = -1

Now, Putting the value of x in p(x), we get :-

= (-1)³ - 3 × (-1)² + 4 × (-1) + 10

= - 1 - 3 × 1 + (-4) + 10

= - 1 - 3 - 4 + 10

= - 8 + 10

= 2

Hence, the remainder when p(x) is divided by g(x) is 2 respectively.