Question

The polynomial ax^3+3x^2-3 and 2x^3-5x+a when divided by (x-4) leaves the same remainder.Find the value of a

Answer 1

f(x)= ax³+3x²-3
p(x)= 2x³-5x+a
Given that,
leaves the same remainder
f(4) = p(4)
a(4)³+3(4)²-3 = 2(4)³-5(4)+a
64a + 48 - 3 = 128 - 20 + a
63a = 63
a = 1