Question

if 5x^2 - 6x + k is divisible by (x - 3) then k=

Answer 1

Answer:

-27

Step-by-step explanation:

Since $5x^{2} - 6x +k$ is divisible by $x-3$

So at x=3 the value of this equation will be 0 as x-3 is the factor of this equation

so At x=3 the eqn becomes

$5*3^{2} - 6*3 +k=0$

$5*9 - 18 + k=0$

$k=-45+18$

$k=-27$

Answer 2

Answer:

This is the proper way to do this.

let f(x)= 5x^2 -6x +k

when f(x) divided by (x-3), by factor theorem,

Therefore, f(3)=0

=>5x3^2-6x3+k=0

=>45-18+k=0

=>27+k=0

=>k= -27

Hence, the value of k is -27.

Thank you and have a great day.