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## Answers

then x =1 must be a zero of the expression

meaning if you substitute x =1 in the expression it must equate to 0

thus

1⁴ - 5 .1² + 4 = 1 -5 + 4 = 0 is equal to 0

therefore x -1 is a factor x⁴ - 2x² + 4

x⁴ + 3x³ - 4x² + 2x -1 / substitute x = 2

16 + 24 - 16 + 4 - 1 = 27

therefore x -2 is not a factor of the above expression