Question

if x- 3 is a factor of x^2 -kx + 12 then find the value of k also find other factor value for this value k​

Answer 1

Answer:

Step-by-step explanation:

(2x−3) is a factor of p(x)=2x

3

−9x

2

+x+K,

If (2x−3)=0,x=

2

3

If (2x−3) is a factor of p(x) then p(

2

3

)=0

p(x)=2x

3

−9x

2

+x+K,

⇒p(

2

3

)=2(

2

3

)−9(

2

3

)+

2

3

+K=0

⇒2(

8

27

)−9(

4

9

)+

2

3

+K=0

⇒(

4

27

−

4

81

+

2

3

+K=0)×4

27−81+6+4K=0

−48+4K=0

4K=48

So K=12

Answer 2

K = 7

Another factor value for this value k

= (x - 4)

hope it helps you

trust me this answer is correct.

I only did rough work .

so I can't send full solution.