Question

If (a - 2)x² + (b-a) x + (C+b) is a zero of the
polynomial, then find the values of
a,b and c​

Answer 1

Answer:

If all the coefficients of polynomial are zeros, then it is called a zero polynomial.

⇒a−2=0,b−a=0,c+b=0

⇒a=2,b=a,c=−b

⇒a=2,b=a=2,c=−b=−2

∴a=2,b=2,c=−2

Answer 2

Given:-

If (a - 2) x² + ( b - a) x + (c + b) is a zero of the polynomial, then find the values of a, b and c.

To Find:-

We Should have to find the Value of A, B and C by Given Problem.

Solution:-

Given,

P(x) = (a - 2) x² + (b - a) c + (c + b).

a - 2 = b - a = c + b = 0.

$\Large\ ⇒$ a - 2 = 0

$\Large\ ⇒$ a = 2

$\Large\ ⇒$ b - a = 0

$\Large\ ⇒$ b = a

$\Large\ ⇒$ b = 2

$\Large\ ⇒$ c + b = 0

$\Large\ ⇒$ c = - b.

$\Large\ ⇒$ C = - 2.

∴ Hence, this is Your Answer.