if -2and 3 are zeros of quadratic polynomial x²+(p+1)x+q then find the value of p. and q
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2
Answer:
If -2 and 3 are the zeroes of the quadratic polynomial x² + (p + 1)x +q, then find the value of p.
Step-by-step explanation:
Answered by
2
Answer:
p = -2 and 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
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