1. If 
is a factor of 
, Find the values of 
and 
.
Solution
Let=2x%5E3-16x+b "f(x)=2x^3-16x+b")
.
Since is a factor of  "f(x)")
, the remainder when 
is divided by is 0.
By polynomial long division we can find the remainder.
Hence we havex&space;+&space;2a&space;+&space;b&space;=0 "(2a^2 - 18)x + 2a + b =0")
.
and 
.
Similarly, we can say
,
When
, 
and
When
, 
.
is divisible by %5E2 "(x-k)^2")
, prove that %5E3+%5Cleft&space;(&space;%5Cfrac%7Bn%7D%7B2%7D&space;%5Cright&space;)%5E2=0 "\left (\frac{ m}{3} \right )^3+\left ( \frac{n}{2} \right )^2=0")
.
Solution
Since is divisible by 
, The remainder when is divided by = 
is zero.
By polynomial long division,
and 
.
%5E3+%5Cleft&space;(&space;%5Cfrac%7Bn%7D%7B2%7D&space;%5Cright&space;)%5E2=%5Cleft&space;(%5Cfrac%7B&space;-3k%5E2%7D%7B3%7D&space;%5Cright&space;)%5E3+%5Cleft&space;(&space;%5Cfrac%7B2k%5E3%7D%7B2%7D&space;%5Cright&space;)%5E2=-k%5E6+k%5E6%3D0 "\therefore \left (\frac{ m}{3} \right )^3+\left ( \frac{n}{2} \right )^2=\left (\frac{ -3k^2}{3} \right )^3+\left ( \frac{2k^3}{2} \right )^2=-k^6+k^6=0")
.
Solution
Let
Since
By polynomial long division we can find the remainder.
Hence we have
Similarly, we can say
When
When
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2. If Solution
Since
By polynomial long division,
How to write polynomial actual division for Android phone?
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