Is It a Factor Using Synthetic Division

When can we use Synthetic Division to divide polynomials?

• Any time we need to divide.

• When dividing by a binomial

• When dividing by any polynomial.

• Only when dividing by a linear factor with a leading coefficient of 1

What number goes in the yellow area?

• 9

• -9

• 6

• -6

What is the next step in synthetic division?

• Bring the 6 down

• Multiply the 9 and 6

• Bring the 9 down

• Add the 9 and 6

When using synthetic division to test linear factors of a polynomial, what does the remainder need to equal to confirm that it is indeed a factor?

• 1

• -1

• 0

• Any number except 0

• 3

• -3

• 2

• 1

Divide using synthetic division.

What is F?

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

• 0

• 1

• 2

• 3

Which would be better to use here?

• Long division

• Synthetic division

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

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.