Question

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

Answer 1

Explanation:

x=10

10| 6 -84. 264. -240

60. -240. 240

6 -24. 24. 0

0=(6x²-24x+24)÷6

Q(x)=x²-4x+4

R(10)=0

Answer 2

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:
`6x ^ 2-24x + 24`

Remainder: 0

Answer:

Option c