Question

5. If the polynomials 2x^3 + ax^2 + 3x - 5 and x^3 + 2x^2 -5x - a leave the same remainder, when
divided by x-1, then find the value of a..​

Answer 1

Answer:

a = -1

Step-by-step explanation:

Value of x = 1

Therefore,

2x³ + ax² + 3x - 5 = 2(1) + a(1) + 3(1) - 5

= 5 + a - 5 = a

x³ + 2x² - 5x - a = (1) + 2(1) - 5(1) - a

= -2 - a

Since remainder in both is the same,

a = -2 - a

2a = -2

a = -1