Respuesta :

remainder = 1

(x² + 3x - 9 )÷ (x - 2 ) =  x + 5 + [tex]\frac{1}{x-2}[/tex]

Answer:

Remainder is 1.

Step-by-step explanation:

Given is an algebraic quadratic function in x as

[tex]x^2+3x-9[/tex]

and we have to divide by x-2.

We find that leading terms are x square and x so quotient I term is x.

[tex]x-2) x^2+3x-9(x+5\\       x^2-2x\\       -----------\\              5x-9\\               5x-10\\      ----------------\\                    +1\\       -----------------[/tex]

Hence quotient is x+5 and remainder is 1

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