Question

Find the values of a and b so that the polynomial x3+ ax2+ bx – 6 is exactly divisible by x2– 4x + 3.

Answer 1

Answer:

Sinceis completely divisible byso we must have –

Comparing coefficients ofand constant terms, we get –

From (3), we get –

c= –2

∴ From (2), we get –

                 b = 11

and from (1),  a = –6.

Answer 2

Step-by-step explanation:

Sinceis completely divisible byso we must have –

Comparing coefficients ofand constant terms, we get –

From (3), we get –

c= –2

∴ From (2), we get –

b = 11

and from (1), a = –6.