Review

Multiple Choice

Classify this polynomial by its degree and number of terms:  x² + 6

• Linear polynomial
• Quadratic trinomial
• Quadratic binomial
• Cubic binomial

Multiple Choice

Classify this polynomial by its degree and number of terms:  x² + 2x + 6

• Linear polynomial
• Quadratic trinomial
• Quadratic binomial
• Cubic trinomial

Multiple Choice

Classify this polynomial by its degree and number of terms: 4x³

• Cubic monomial

• Linear binomial

• Cubic binomial

• 6th degree (sextic) monomial

Multiple Choice

x⁴+2

• Quadratic binomial

• Quadratic monomial

• Quartic binomial

• Quartic trinomial

Multiple Choice

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Multiple Choice

Classify by degree of polynomial:

3x⁵ – 6x

• Constant

• Linear

• Quadratic

• fifth degree

Multiple Choice

Classify by degree of polynomial:
2x – 9

• Constant
• Linear
• Quadratic
• Cubic

Multiple Choice

Classify by number of terms:
3x² – 8x + 1

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Multiple Choice

Classify:
2x⁴+14x³−2x²

• Monomial
• Binomial
• Trinomial
• Polynomial

Multiple Choice

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

• Boss coefficient
• Leading coefficient
• Best coefficient
• Greatest common coefficient

Multiple Choice

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

• True
• False

Multiple Choice

The following polynomial is written in standard form:

x² - 10x+ 8x - 5

• True

• False

Multiple Choice

$$-9x^2y^4z^6$$  Find the degree of the monomial.

• Degree: 10

• Degree: 12

• Degree: 6

• Degree: 4

Multiple Choice

$$8x^6y^4z$$  Find the degree of the monomial.

• Degree: 11

• Degree: 10

• Degree: 6

• Degree: 12

Multiple Choice

7. If P(x) = 2x ³ + 3x² – 11x + 6 , then find the value of P ( 1 )._____

• 1

• 2

• 3

• 0

Multiple Choice

Sum of the zeros of the polynomial x²+7x+10 are

• 7

• -7

• 10

• -10

Multiple Choice

The degree of the polynomial p(x)= x⁶-3x⁷+8x+5

• 6

• 7

• 5

• 8

Multiple Choice

The constant term of the polynomial p(x)= x⁶-3x⁷+8x⁵+4x-5 is

• 1

• -3

• 8

• -5

Multiple Choice

The co-efficient of x³ in the polynomial p(x)= 2-x³+x²

• 2

• -1

• 1

• 3

Multiple Choice

Which term must be inserted in the dividend before you begin long division?

$$\left(2x^3+5x^2+9\right)\div\left(x+3\right)$$  

• $$0x^4$$  

• $$0x^3$$  

• $$0x^2$$  

• $$0x$$  

Multiple Choice

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

Multiple Choice

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

• 0
• 1
• 2
• 3

Multiple Choice

            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. 

Multiple Choice

What is the remainder when you divide
$$\left(2x^3-5x-7\right)\ by\ \left(x+2\right)$$  ?

• -9

• 11

• -13

• -1

Multiple Choice

Find the sum. 
(3 - 2x + 2x²) + (4x - 5 + 3x²)

• 7x - 7x + 5x²
• 5x² + 2x - 2
• 5x²
• 5x² + 6x + 8

Multiple Choice

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Multiple Choice

Is this division problem worked correctly?

• This is correct!

• This is incorrect, and error occurs on the 2nd line!

• This is incorrect, and the error occurs on the 4th line!

• This is incorrect, and the error occurs on the 3rd line!

Multiple Choice

Use synthetic division. $$\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)$$  

• $$x-7$$  

• $$x^2-7$$  

• $$x+7$$  

• $$x^2+3x-54$$  

Multiple Choice

Use synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Multiple Choice

Use synthetic division.

Multiple Choice

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

Multiple Choice

Does this graph have an absolute minimum?

• Yes
• No

Multiple Choice

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Multiple Choice

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Multiple Choice

What is the end behavior of this function?

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Multiple Choice

What is the end behavior of this function?

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Multiple Choice

What is the end behavior of this function?

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Multiple Choice

What is the end behavior of this function?

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

• $$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty;\ As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Multiple Choice

Describe the end behavior of the graph.

• $$\lim_{x\rightarrow\infty}f\left(x\right)=\infty$$  

  and

  $$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty$$  

• $$\lim_{x\rightarrow\infty}f\left(x\right)=\infty$$  

  and $$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty$$  

• $$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty$$  and

  $$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty$$  

• $$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty$$  and $$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty$$  

Multiple Choice

Reflect Point C over the line x = 1

• (-1, 2)

• (3, 0)

• (0, 2)

• (3, -1)

Multiple Choice

Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?

• (3,3)
• (-3,3)
• (3,-3)
• (-3,-3)

Multiple Choice

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o Clockwise Rotation
• 360^o Rotation

Multiple Choice

_{How many lines of symmetry are in the figure?}

• 0
• 1
• 2
• 3

Multiple Choice

Describe the transformation.

• rotation 90 degrees clockwise about the origin
• reflection across the y-axis
• rotation 90 degrees counterclockwise about the origin
• rotation 180 degrees about the origin

Multiple Choice

Describe the transformation.

• translation: right 3 and down 2
• felfection across y=-x
• rotation 180 degrees about the origin
• rotation 90 degrees clockwise about the origin