Free Printable 1/6 Poly Review

1.

After multiplication, what would the degree be?

(2x + 3)(3x^2 - 6x + 2)

a)

1

b)

2

c)

3

d)

4

e)

There is no degree

2.

After multiplication, what would the leading coefficient be?

(2x + 3)(3x^2 - 6x + 2)

a)

2

b)

3

c)

5

d)

6

e)

9

3.

x^3 - 2x^2 - 5x + 6, given that 1 is a solution or zero. Find the other 2.

a)

-2, 3

b)

6, -1

c)

5,7

d)

3, -4

e)

1, -6

4.

x^3 + 5x^2 + 7x + 2 , once you divide out the (x+2) factor. You are left with an in factorable quadratic. How do you find the answer?

a)

graph will always work!

b)

Attempt factoring again

c)

Use synthetic Division

d)

Use the quadratic formula

5.

x^3 + 5x^2 + 7x + 2 , once you divide out the (x+2) factor use quadratic formula to solve.

a)

$\frac{\left(-5\ +\ i\sqrt{2}\right)}{2},\ \frac{\left(-5\ -\ i\sqrt{2}\right)}{2}$

b)

$\frac{\left(3\ +\ i\sqrt{13}\right)}{2},\ \frac{\left(3\ -\ i\sqrt{13}\right)}{2}$

c)

\frac{\left(-3\ +\ \sqrt{5}\right)}{2}\ ,\ \ \frac{\left(-3\ -\ \sqrt{5}\right)}{2}

d)

$\frac{\left(-1\ +\ \sqrt{13}\right)}{2},\ \frac{\left(-1\ -\ \sqrt{13}\right)}{2}$

6.

Find the zeroes, (one zero is 10)

$x^3\ -\ 14x^2\ +\ 43x\ -\ 30\ =\ 0$

a)

5, 10, 3

b)

1, 10, -3

c)

15, 2, 10

d)

1, 3, 10

e)

6, 4, 12

7.

Find the other zeroes, (one zero is 4)

$x^3\ -\ 3x^2\ +\ 5x\ -\ 36\ =\ 0$

a)

$\frac{-1+i\sqrt{35}}{2}\ \ ,\ \frac{-1-i\sqrt{35}}{2}$

b)

$2.5\ \ ,\ \ \ -3.5$

c)

$\frac{1+2i\sqrt{2}}{2}\ \ ,\ \frac{-1-2i\sqrt{2}}{2}$

d)

Meow

8.

(6x^2 + 7x + 2) - (-9x^2 - 10)

a)

-3x^2 + 7x - 8

b)

15x^2 + 7x - 8

c)

-3x^2 + 7x + 12

d)

15x^2 + 7x + 12

9.

What is the degree of this polynomial?

f(x)=10x^2 −2 + 2x^3 + 8x^6 − 4x

a)

2

b)

3

c)

4

d)

5

e)

6

10.

What is the y-intercept?

f(x)=10x^2 −2 + 2x^3 + 8x^6 − 4x

a)

10

b)

-2

c)

2

d)

8

e)

6

11.

f(x)=x^3 + 3x^2 - x - 3 Find the roots.

a)

1

b)

-1

c)

3

d)

-3

e)

4

12.

f(x)=x^3 + 7x^2 - 36 Find the roots.

a)

6

b)

-1

c)

-6

d)

2

e)

-3

13.

What is the degree of this polynomial?

(a)

14.

What is the degree of this polynomial?

(a)

15.

What are the zeroes of this polynomial?

a)

-3

b)

-2

c)

-1

d)

1

e)

3

16.

What zero has is answered twice?

a)

-3

b)

-2

c)

-1

d)

1

e)

3

17.

Our number system can be represented as a polynomial such as,

n(x) = 2x^3 + 2x + 1

What would x have to be such that its 2021?

(a)

18.

f(x)=x^3 + 3x^2 - x - 3 Ho many terms does this polynomial have?

a)

1

b)

2

c)

3

d)

4

e)

5

1/6 Poly Review

Total questions: 18

Worksheet time: 23mins

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