Math, asked by GautamRana095, 8 months ago

can you solve it ....​

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Answers

Answered by yoindian9876
1

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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