Synthetic Division Practice

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

• 0
• 1
• 2
• 3

Answer explanation

Tags

CCSS.HSA.APR.D.6

Answer explanation

Tags

CCSS.HSA.APR.D.6

Answer explanation

Tags

CCSS.HSA.APR.D.6

Is (x-2) a factor of

f(x) = x³ − 8x² + 14x − 4?

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

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

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

• No, (x-2) is a factor, because the remainder is zero.

Answer explanation

When dividing, if there is a remainder of zero, the factors are the divisor (x-2) and the quotient (x²-6x+2)

Tags

CCSS.HSA.APR.B.2

• Yes

• No

• I have no idea

Answer explanation

When dividing, if there is a remainder of zero, the factors are the divisor (x-1) and the quotient (x⁴+7x³-7x²+10x+3)

Tags

CCSS.HSA.APR.B.2

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

Answer explanation

All exponents need to be listed in decreasing order.

x⁶ + 0x⁵ +0x⁴ +4x³ + 0x² + 0x¹ + 2

Tags

CCSS.HSA.APR.D.6

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Answer explanation

Exponents need to to be listed in decreasing order. Remember to fill in 0's when an exponent is missing.

3x¹ - 4x³ + 6x⁴ + 1

Tags

CCSS.HSA.APR.D.6

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Answer explanation

Tags

CCSS.HSA.APR.D.6

What is the remainder when (x⁴ - 5) is divided by (x + 3)?

• 76

• 81

• 7

Answer explanation

Tags

CCSS.HSA.APR.B.2

What is the remainder when n³ - 7 is divided by n + 5 ?

• 118

• 132

• -132

Answer explanation

Tags

CCSS.HSA.APR.B.2