Question

find the value of k if x - 3 is a factor of p (x)=x^3-5x^2+3kx+9...

Answer 1

∵x-3 is factor of given polynomial.

∴x-3=0

⇒x=3

p(x)=x³-5x²+3kx+9

p(3)=3³-5(3)²+3k×3+9

0=27-45+9k+9

0=36-45+9k

9=9k

∴k=1 ans

Answer 2

Answer:∵x-3 is factor of given polynomial.

∴x-3=0

⇒x=3

p(x)=x³-5x²+3kx+9

p(3)=3³-5(3)²+3k×3+9

0=27-45+9k+9

0=36-45+9k

9=9k

∴k=1 ans

Step-by-step explanation: