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? a) (x-3)(2x²-3x - 5) = 22 O b) (x-3)(2x²-3x - 5) = -22 Oc) 2x³-9x² + 4x - 7=(x-3)(2x²-3x - 5) - 22 d) 2x³-9x² + 4x-7=(x-3)(2x²-3x - 5) + 22

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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?
a) (x-3)(2x²-3x - 5) = 22
O b)
(x-3)(2x²-3x - 5) = -22
Oc) 2x³-9x² + 4x - 7=(x-3)(2x²-3x - 5) - 22
d) 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? a) (x-3)(2x²-3x - 5) = 22 O b) (x-3)(2x²-3x - 5) = -22 Oc) 2x³-9x² + 4x - 7=(x-3)(2x²-3x - 5) - 22 d) 2x³-9x² + 4x-7=(x-3)(2x²-3x - 5) + 22
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