Question

X+1 factor x^4+3x^3+3x^2+X+1​

Answer 1

to check x+1 is a factor , p(-1) is to be calculated

Answer 2

Answer:

If x + 1 = x – a then a = -1

p(x) = x4 + 3x3 + 3x2 + x + 1

p(-1) = (-1)4 + 3(-1 )3 +3(-1 )2 + (-1) + 1

= 1 + 3(-1) + 3(1) + 1(-1) + 1

= 1- 3 + 3 – 1 + 1

= 5 – 4 P(-1)= 1 Here, r(x) = p(a) = 1 Remainder is not zero ∴ x+1 is not a factor.

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