Question

if -2 and 3 are the zeros of the quadratic polynomial x2+(p+1)x+q then find the value of p and q​

Answer 1

Answer:

p = -2,    q = - 6

Step-by-step explanation:

If -2 and 3 are the zeroes of the given polynomial(and be 0), these must satisfy the equation for x = -2 and x = 3.

 For x = - 2 :  f(-2) = 0

⇒ (-2)² +  (p + 1)(-2) + q = 0

⇒ 4 - 2p - 2 + q = 0

⇒ 2p - 2 = q            

For x = 3 :   f(3) = 0

⇒ (3)² + (p + 1)(3) + q = 0

⇒ 9 + 3p + 3 + q = 0

⇒ 12 + 3p + (2p - 2) = 0

⇒ p = - 2

  thus. 2(-2) - 2 = q = - 6

Answer 2

Answer

P =-2

q= -6✍️✍️

hope it is help you✍️✍️