Question

07.Find the value of a if x3 – ax2 + 2x – 6 leaves remainder 2 when divided by x – a​

Answer 1

Answer:Answer:

Value of a is -13/3.

Step-by-step explanation:

Given:

Polynomials are x³ +ax² + 5 and x³ - 2x² + a

Polynomials divided by x - 2 leaves same remainder.

To find: value of a.

We use Remainder theorem which states that When a polynomial p(x) is divided by linear polynomial of the form x - a then remainder is equal to p(a).

let, p(x) = x³ + ax² + 5     and g(x) = x³ - 2x² + a

According to the question,

p(2) = g(2)

(2)³ + a(2)² + 5 = (2)³ - 2(2)² + a

8 + 4a + 5 = 8 - 8 + a

4a + 13 = a

3a = -13

a = -13/3

Therefore, Value of a is -13/3.

Step-by-step explanation: