Simplify the expression using synthetic division. (6x3 – 84x2 + 264x – 240) ÷ (x – 10)

quotient 6x2 – 144x – 1176 and remainder 11,520

quotient 66x2 + 576x – 6,024 and remainder 60,000

quotient 6x2 – 24x + 24 and remainder 0

quotient 60x2 + 516x + 5,424 and remainder 54,000

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend, until we reach the rest. It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

In this case we have to:

Quotient: [tex]6x ^ 2-24x + 24[/tex]

Remainder: 0

Answer:

Option c

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Simplify the expression using synthetic division. (6x3 – 84x2 + 264x – 240) ÷ (x – 10) quotient 6x2 – 144x – 1176 and remainder 11,520 quotient 66x2 + 576x – 6,024 and remainder 60,000 quotient 6x2 – 24x + 24 and remainder 0 quotient 60x2 + 516x + 5,424 and remainder 54,000

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Simplify the expression using synthetic division. (6x3 – 84x2 + 264x – 240) ÷ (x – 10)

quotient 6x2 – 144x – 1176 and remainder 11,520

quotient 66x2 + 576x – 6,024 and remainder 60,000

quotient 6x2 – 24x + 24 and remainder 0

quotient 60x2 + 516x + 5,424 and remainder 54,000