Question

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

Answer 1

Step-by-step 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