Use long division to find the quotient:

\((x^2 + 6x - 27) \div (x - 3)\)

x − 3 x 2 + 6 x − 27 ​ = x − 3 x 2 + 6 x + 3 x − 3 x − 27 ​ = x − 3 x 2 + 9 x − 3 x − 27 ​ = = x − 3 x ( x + 9 ) − 3 ( x + 9 ) ​ = x − 3 ( x + 9 ) ( x − 3 ) ​ = x + 9 x − 3  = 0 x  = 3 D = R ∖ { 3 }

Answered by Lilith | 2024-06-10

Using long division, the quotient of ( x 2 + 6 x − 27 ) ÷ ( x − 3 ) is x + 9 with no remainder. The process involves dividing, multiplying, and subtracting until the remainder is zero. Thus, the final answer is x + 9 .
;

Answered by Lilith | 2025-01-14