1.

(x-1) is a factor ofp(x) = x4-2x3 + 3x-2

Answer»

(x - 1) is a factor of P(x) = x⁴ - 2x³ + 3x - 2

means, x = 1 is a root of P(x) = x⁴ - 2x³ + 3x - 2.

P(1) = 1⁴ - 2(1)³ + 3(1) - 2

P(1) = 1 - 2 + 3 - 2

P(1) = 4 - 4 = 0

we get, P(1) = 0 hence, the given statement is correct that (x - 1) is a factor of p(x)=x⁴–2x³+3x–2.

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