Question

6. If the polynomials x® + ar? + 5 and x? – 2x² +ga are divided by (x + 2) leave the same
remainder, find the value of a. x
double​

Answer 1

Answer:

Given:

Polynomials are x3 +ax? + 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) = x2 + ax2 + 5 + a and g(x) = x3 - 2x

According to the question,

p(2) = g(2)

(2)° + a(2)? + 5 = (2)³ - 2(2)? + a 4a + 13 = a

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

3a = -13

a = -13/3

Therefore, Value of a is -13/3.

Step-by-step explanation:

Hope it helps you