Division as a Missing Factor

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

How can I tell, when doing synthetic division, if the binomial is a FACTOR of the dividend?

• The remainder is zero

• They are all factors

• We can't tell

• The remainder is a constant

What does this tell me?

• f(-2)= -27 and -27 is the remainder

• -2 is a solution of the function

• (x+2) is a factor of the function

• (x-2) is a factor of the function

It's time to write the answer. What goes in the yellow area?

• 9

• -9

For synthetic division, what would be the number in the left hand box?

• 0

• 1

• 2

• 3

x - 7 x² - 7 x + 7 x² + 3x - 54

• x - 7

• x² - 7

• x + 7

• x² + 3x - 54

The answer to a division problem is known as the...?

• product

• sum

• difference

• quotient

• x + 5 + (2/2x - 4)
• x - 8
• x - 5 + (3/2x - 4)
• x + 5

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

What does it mean to be a factor of a number?

• Divides evenly with a remainder of zero.

• Divides unevenly with a remainder of 1.