Question

find value of k if x-3 is a factor of p(x)=2x³-5x²-3x+k​

Answer 1

Answer:

k=0

Step-by-step explanation:

p(x)=2x³-5x²-3x+k

As(x-3) is a factor of p(x)

so p(3)=0

=> 2×(3³)-5×(3²)-3×3+k=0

=> 54-45-9+k=0

=> k=0

so the value of k is 0.

Answer 2

Step-by-step explanation:

2x^3-5x^2-3x+k

=2x^3-6x^2+x^2-3x+k

=2x(x-3)+x(x-3)+k

as x-3 is a factor,so k=0