Math, asked by Itzcuteboy777, 5 months ago

4. If 2 and - 3 are the zeroes of the quadratic polynomial x2 + (a +1)x + b, then find the
values of a and b.
find a quadratic polynomial​

Answers

Answered by BrainlyAnswerer0687
6

Step-by-step explanation:

Let, the value of x be 2

x² + ( a + 1 ) x + b = 0

⇒ 2² + ( a + 1 ) 2 + b = 0

⇒ 4 + ( a + 1 ) 2 + b = 0

⇒ 4 + 2a + 2 + b = 0

⇒ 6 + 2a + b = 0

⇒ 2a + b = - 6 _ _ _ _ _ ( 1 )

_____________________

now let the value of x be - 3

x² + ( a + 1 ) x + b = 0

⇒ (-3)² + ( a + 1 ) ( -3 )+ b = 0

⇒ 9 + -3a -3 + b = 0

⇒ 6 -3a + b = 0

⇒ -3a + b = -6

_____________________

2a + b = -3a + b

⇒ 2a + 3a = b - b

⇒ 5a = 0

⇒ a = 0

_____________________

put equation 1 here

2a + b = - 6

⇒ 2 × 0 + b = - 6

⇒ b = - 6

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