Question

please solve this it's urgent ​

Answer 1

EXPLANATION.

If (a - 3)x² + (2a + b)x + (b - c) = 0.

Is a zero polynomial.

As we know that,

When coefficients of polynomial is zero then it is known as zero polynomial.

We can write equation as,

⇒ a - 3 = 0. - - - - - (1).

⇒ 2a + b = 0. - - - - - (2).

⇒ b - c = 0. - - - - - (3).

From equation (1), we get.

⇒ a = 3.

Put the value of a = 3 in equation (2), we get.

⇒ 2(3) + b = 0.

⇒ 6 + b = 0.

⇒ b = - 6.

Put the value of b = - 6 in equation (3), we get.

⇒ (- 6) - c = 0.

⇒ - c = 6.

⇒ c = - 6.

Values of a = 3, b = - 6 and c = - 6.

To find :

Value of a + b.

⇒ a + b = 3 + (-6) = - 3.

Option [D] is correct answer.

Answer 2

Given :

(a - 3)x² + (2a + b)x + (b - c) is a zero polynomial.

To Find :

Value of (a + b) = ?

Solution :

If the coefficients of the polynomial is zero, it is called zero polynomial .

a - 3 = 0 ____ ①

2a + b = 0 ____ ②

b - c = 0 ____ ③

➻ From Eq①,

a = 3

➻ Then, From Eq②,

2(3) + b = 0

b = -6

➻ From Eq③,

-6 - c = 0

c = -6

then, The value of a + b

= 3 - 6

= -3

FINAL ANSWER :

The Value of (a + b) is -3 .

Option (D) is the correct answer