Question

if polynomial ax^3+3x^2-13 and 2x^3-5x+a when divided by (X+2) leaves the same remainder find value of a​

Answer 1

Answer:

5/9

Step-by-step explanation:

Since x+2 gives same remainder in both the polynomials

We put x=-2 and equate the remainders

Remainder-polynomial 1: -8a+12-13 = -8a-1

Remainder-polynomial 2: -16+10+a= a-6

a-6=-8a-1

9a= 5, a=5/9

Answer 2

First , let , g(x) = x + 2 = 0

=> x = -2

Now ,

let P1 (x) = ax³ + 3x² - 13

and P2 (x) = 2x³ - 5x + a

According to the question,

P1 (-2) = P2 (-2)

=> a(-2)³ + 3(-2)² - 13 = 2(-2)³ - 5(-2) + a

=> -8a + 12 - 13 = 16 + 10 + a

=> -9a - 1 = -6

=> a = 5/9

So,the value of a is 5/9.

hope it helps dear... ✌☺️