Question

X+1 factor x^3+x^2-(2+√2)X+√2​

Answer 1

Answer:

If x + 1 = x – a then, a = -1

p(x) = x3 – x2 – (2 + √2)x+ p(-1)

= (-1)3 – (-1)2 -(2 + √2)(-1) + √2

= -1 -(+1) – (2 – √2) + √2

= -1 – 1 + 2 + √2 +√2

= -2 + 2 + √2

= + 2√2

p(-1) = 2√2

Here, r(x) = p(a) = 2√2 Value of remainder r(x) is not zero. ∴ x + 1 is not a factor

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