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

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.

Answer 2

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