Question

find the value of k if x+3 is a factor of 3x square + kx + 6​

Answer 1

Question :

Find the value of k, if x + 3 is a factor of 3x² + kx + 6.

Answer:

Let p(x) = 3x² + kx + 6 be the given polynomial. Then, ( x + 3 ) is a factor of p(x).

=> p(-3) = 0

=> 3(-3)² + k × -3 + 6 = 0

=> 27 - 3k + 6 = 0

=> 33 - 3k = 0

=> k = 11

Hence, x + 3 is a factor of 3x² + kx + 6 if k = 11