Use the remainder theorem to find the remainder of (x3 – 2x2 + 3x – 1) ÷ (x + 2).

ANSWER:

Remainder = -23

Step-by-step explanation:

EXPLANATION:

quotient of the division is =  x^2-4x+11 .

The Remainder theorem with quotient and remaider both will give answer

x^3 - 2 x^2 + 3 x - 1 = (x^2 - 4 x + 11) × (x + 2) + -23

NOTE:

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It expresses that the rest of the division of a polynomial by a straight polynomial is equivalent to. Specifically, is a divisor of if and just if a property known as the factor hypothesis.

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