Question

If (x + 2) is a factor of and a + b = -4 , find the values of a and b.​

Answer 1

Answer is in the attachment

Answer 2

Answer:

x2 + x + 1 is a factor of x4 + ax + b.

Since x2 + x + 1 is a factor x4 + ax + b

⇒ x4 + ax + b can be expressed as –

x4 + ax + b = (x2 + x + b) (x4 + k1x + k2)

⇒ x4 + 0x3 + 0x2 + ax + b = x4 + x3 + x2 + k1x3 + k1x2 + k1x + k2x2 + k2x + k2

⇒ x4 + 0x3 + 0x2 + ax + b = x4 + (k1 + 1) x3 + (1 + k1 + k2) x2 + (k1 + k2)x + k2