if the polynomial x^4-6x^3+16x^2-25x+10 is divided by another polynomial

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Question

if the polynomial x^4-6x^3+16x^2-25x+10 is divided by 
another polynomial x^2-2x+k the reminder is x+a. Find k and 
a.

Question Submitted By :: Ramarao

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Re: if the polynomial x^4-6x^3+16x^2-25x+10 is divided by another polynomial x^2-2x+k the reminder is x+a. Find k and a.

Answer
# 1

consider this form:
(divisor)x(quotient)+remainder=dividend

(x^2-2x+k)*(a0x^2+a1x+a2)+x+a=x^4-6x^3+16x^2-25x+10

compare the co-efficients to get a and k.

expect ans to be a=-10, k=4.

Is This Answer Correct ?

0 Yes

2 No

Re: if the polynomial x^4-6x^3+16x^2-25x+10 is divided by another polynomial x^2-2x+k the reminder is x+a. Find k and a.

Answer
# 2

k = 5 
and
a = -5

because

-9+2k = 1 => k = 5 

and 

a=10-8k+k^2 => a = -5

Is This Answer Correct ?

0 Yes

1 No

Praveen Kumar

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