Question

if the polynomial f (x)=x4-6x3 +16x25x-10 is divided by another polynomial x2-2x+k the remaber comes out be x+a find k and a​

Answer 1

Step-by-step explanation:

Answer.

Given that the remainder is (x + a)

⇒ (4k – 25 + 16 – 2k)x + [10 – k(8 – k) ]

= x + a

⇒ (2k – 9)x + [10 – 8k + k2 ]

= x + a

On comparing both the sides,

we get

2k – 9 = 1

⇒ 2k = 10

∴ k = 5

Also 10 – 8k + k2 = a

⇒ 10 – 8(5) + 52 = a

⇒ 10 – 40 + 25 = a

∴ a = – 5