Question

Find the value of k. So that x-3 is a factor of 3x square -11x+k​

Answer 1

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☆ Given:-

• x-3 is a factor of 3x²-11x+k.

☆ Now,

If x-3 is a factor then x-3 should be equal to 0.

=》 x-3 = 0

=》 x = 0+3

${\large{\blue{\boxed{=》\:\:x\:=\:3}}}}$

☆ Therefore,

By putting the value of x we get,

=》 3(3)²-11(3)+k = 0.

=》 3(9)-33+k = 0

=》 27-33+k = 0

=》 -6+k = 0

=》 k = 0+6

${\large{\blue{\boxed{=》\:\:k\:=\:6}}}}$

Therefore the required value of k is 6.

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