The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

Answers

Answer 1

Answer:

Answer: k=-5

Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for $p(x)=x^3+(k+8)x+k$ if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, $p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24$

$p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9$

According to the question,

p(2)+p(-1)=0

$\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5$

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Answers

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Out of 150 people, 36 people About how many people out of 350 would likely wear blue jeans?

Answers

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Which is greater 81.9,81.90,81.900 or 81.91?

Answers

As long as there are no numbers after them the zeros on the right of the decimal don't matter (i.e. 6.3000000=6.3 3.00000=3)
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What is 100 divided by 11.99?

Answers

Answer:

8.4033613445378151260504201680672

Step-by-step explanation:

Use a calculator :)

Answer:

$(1000)/(1199)$ = 8.34028

Step-by-step explanation:

multiply 100 by 100 = 1000

and multiply 11.99 by 100 = 1199

divide them you get 10000/1199

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