Pls answer with full steps
Answers
Answer:
Quotient = 9x² - 30x + 25,Remainder = 0.
Step-by-step explanation:
Long Division Method:
5 - 3x) -27x³ + 135x² - 225x + 125 ( 9x² - 30x + 25
-27x³ + 45x²
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90x² - 225x + 125
90x² - 150x
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-75x + 125
-75x + 125
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0
Verification:
Dividend = Divisor * Quotient + Remainder
= (5 - 3x)(9x² - 30x + 25)
= (9x² * 5) - (30x * 5) + (25 * 5) - (9x² * 3x) + (30x * 3x) - (25x * 3)
= 45x² - 150x + 125 - 27x³ + 90x² - 75x
= 125 - 225x + 135x² - 27x³
Hope it helps!