Free Printable Polynomials: Synthetic Division

1.

Use synthetic division

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

2.

Is $(x-2)$ a factor of $f(x)=x^3-8x^2+14x-4$ ?

a)

Yes, (x-2) is a factor.

There is a remainder.

b)

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

The remainder is zero.

c)

Yes, (x-2) is a factor.

The remainder is zero.

d)

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

There is a remainder.

3.

Divide using synthetic division $(2x^3+4x^2-5)\div(x+3)$

a)

2x² + 2x - 4 R(-12)

b)

2x² - 2x + 6 R(-23)

c)

2x² - 2x + 8 R(-20)

d)

2x² - 4x + 1 R0

4.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

5.

What should be the correct order of the coefficients when setting up synthetic division for $(3x-4x3+6x4+1)\div(x+3)$ ?

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

6.

If you were dividing $x^6+4x^3+2$ , how many 0's would you need as placeholders when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

Polynomials: Synthetic Division

Total questions: 6

Worksheet time: 33mins

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