Question

Find the remainder when the polynomial p(x)=3x⁴-4x³-3x-1 is divided by x-1. Can you say (x-1) is a factor of p(x)
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Answer 1

Answer:

x-1 =0 which gives x=1

now substitute the value of x in the given polynomial

p (1)= 3 ( 1)4 - 4 (1)3 -3 (1) -1 =0

= 3 - 4 -3 -1 =0

= -5 is the remainder.

No, x-1 is not a factor of p (x) since the remainder is not zero