Q. 1 D4.3( 4 Votes )

# Determine which of the following polynomials has (x – 1) a factor?

x^{3} – x^{2} – (2 + √3)x + √3

Answer :

We know that (x – 1) will be the factor of the polynomial if by substituting x = 1 in polynomial we get the zero remainder

∴ by putting x = 1 in x^{3} – x^{2} – (2 + √3)x + √3, we get -

1^{3} – 1 – (2 + √3)1 + √3 = 1 – 1 – 2 – √ 3 + √ 3

= – 2≠0

⇒ (x – 1) is not a factor of x^{3} – x^{2} – (2 + √3)x + √3

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