Question

if (x+k)is a common factor of polynomials 3x² +ax+b and 3x²-px+q show that k =b-a/a+p​

Answer 1

Answer:

p=5 and q=4.

Explanation:

Answer

Correct option is

B

5,4

Factors of x  

2

−3x+2 are (x−1) and (x−2).

Let f(x)=x  

4

−px  

2

+q

Since, f(x) is divisible by (x−1) and (x−2)

∴f(1)=0 and f(2)=0

⇒f(1)=1  

4

−p(1)  

2

+q=0

and f(2)=2  

4

−p(2)  

2

+q=0

1−p+q=0....(i)

and 16−4p+q=0....(ii)

(i)−(ii), we get

−15+3p=0⇒p=5

putting value of p in eq. (i), we get q=4

Thus, we get

p=5 and q=4.