If 2x³9x² + 4x − 7 is divided by x − 3 to give a quotient of 2x²-3x - 5 and a remainder of -22, then which of the following is true? ○ (x − 3)(2x² – 3x − 5) = 22 (2x³9x² + 4x −7) - 22 = (x − 3)(2x²-3x - 5) - ) 2x³ − 9x² + 4x − 7 = (2x² – 3x - 5)(x − 3) - 22 2x³ − 9x² + 4x − 7 = (x − 3)(2x² – 3x – 5) + 22

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.7: Polynomial Long Division
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If 2x³-9x² + 4x-7 is divided by x-3 to give a quotient of
2x²-3x - 5 and a remainder of -22, then which of the following is true?
) (x − 3)(2x² – 3x − 5) = 22
-
(2x³9x² + 4x-7) - 22 = (x − 3)(2x² – 3x - 5)
2x³ − 9x² + 4x − 7 = (2x² – 3x - 5)(x − 3) - 22
-
2x³ - 9x² + 4x − 7 = (x − 3)(2x² – 3x − 5) + 22
Transcribed Image Text:If 2x³-9x² + 4x-7 is divided by x-3 to give a quotient of 2x²-3x - 5 and a remainder of -22, then which of the following is true? ) (x − 3)(2x² – 3x − 5) = 22 - (2x³9x² + 4x-7) - 22 = (x − 3)(2x² – 3x - 5) 2x³ − 9x² + 4x − 7 = (2x² – 3x - 5)(x − 3) - 22 - 2x³ - 9x² + 4x − 7 = (x − 3)(2x² – 3x − 5) + 22
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