Question

Find the value of 'k' if (x - 3) is a factor of 3x' + kx +6 = 6​

Answer 1

$\huge\bold\pink{ANSWER:}$

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Here is Your Answer...!!

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Step by step solution:

$Given \ p(x)= 3x^2 + kx +6 = 6 \ and \ (x-3) \ is \ factor \ of \ p(x)\\\\putting \ x=3 \ to \ get \ value \ of \ k\\\\ p(x)= 3x^2 +kx+6=6\\\\p(3)=3\times9+3k+6=6\\\\27+3k=6-6\\\\3k=-27\\\\k=-9$

Hope it is clear to you.

Answer 2

Question :-

find x , 3x^2+kx+6 =6

Answer :-

(x-3) then, x=3

Putting x in equation :-

3x^2+kx+6=6

3(3)^2+k(3)+6=6

27+3k=6-6

3k+27=0

3k=-27

k=-27/3

k=-9

Hence, your answer is -9