Find the value of ‘k ‘, if + 3 is a factor of 32 + + 6 .

1.	Find the value of ‘k ‘, if + 3 is a factor of 32 + + 6 .
Answer» ong>Step-by-step EXPLANATION:P> According to the Remainder theorem, when a polynomial p(X) is divided by (x−a), then the remainder is the value of p(x) at x=a Here p(x)=3x 2 +kx+6 When it is divided by its factor (x+3), Remainder is =p(−3)=0 3(−3) 2 +(−3)k+6=0 27−3k+6=0 33−3k=0 3k=33 k=11

Answer»

ong>Step-by-step EXPLANATION:P>

According to the Remainder theorem, when a polynomial p(X) is divided by (x−a), then the remainder is the value of p(x) at x=a

Here p(x)=3x

+kx+6

When it is divided by its factor (x+3),

Remainder is =p(−3)=0

3(−3)

+(−3)k+6=0

27−3k+6=0

33−3k=0

3k=33

k=11

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Find the value of ‘k ‘, if + 3 is a factor of 32 + + 6 .​

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Find the value of ‘k ‘, if + 3 is a factor of 32 + + 6 .