Question

1. Without actual division show that p(x) = 4x3 + 3x2 - 4x - 3 is exactly divisible by
(x + 1)and (4x + 3)​

Answer 1

Step-by-step explanation:

If P(x) is divisible by (x + 1)and (4x + 3) then x=-1 and x=-3/4 is zeroes.

p(x) = 4x3 + 3x2 - 4x - 3

p(-1) = 4(-1)³+ 3(-1)² - 4×-1- 3 =0

Hence, P(x) is divisible by (x + 1)

Similarly,

p(x) = 4x3 + 3x2 - 4x - 3

p(-3/4) = 4(-3/4)³+ 3(-3/4)- 4×-3/4 - 3 =0

Hence, P(x) is divisible by (4x + 3)