Question

If the polynomials x3+ax2+5 and (x3-2x2+a) leave the same remainder when divided by (x-2) find the value of a

Answer 1

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.

Answer 2

Answer:

Here is your answer

Step-by-step explanation: