can you solve it ....
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Answer:
k=5. a= -5
Step-by-step explanation:
By division algorithm
dividend= (quotient x divisor) + remainder
therefore, divid.-remain. = quo.xdivis.
after executing this
you will get
x⁴-6x³+16x²-25x+10-x-a=x⁴-6x³+16x²-26x+10-a
now divide it by x²-2x+k
you should get (-10+2k)x +(10-a-8k+k²) as remainder..
now equate it like this
-10+2k = 0
2k= 10
k= 5-----;;;(1)
___________
10-a-8k-k²=0
put the value of k from eq(1)...
10-a-40+25=0
-5-a=0
therefore a= -5
thus
explained...
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