Review of Polynomials

Which equation MOST LIKELY matches the graph? Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

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!

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Which of the following best suits the statement for the graph shown:
This polynomial
will have degree 3.

• Sometimes

• Always 

• Never

• Cannot be determined

Add the following polynomials:
(6n² - 7n⁴+8) +  (6 + 8n + 4n⁴)

• -3n⁴+ 6n²+8n+14

• -n⁴-2n²+8n+7

• -n⁴ + 6n²+8n+7

• -3n⁴+ 6n²+8n+7

(3x² + 6x - 1) + (4x² + 5x + 9)

• -x² + x - 10

• x² - x + 10

• 7x² + 11x + 8

• 7x² + 11x + 10

Add the following polynomials: 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x

• 16x⁴  + x² + 14x

• 11x⁴  + x² + 14x

• 11x⁴  + 2x² + 10x

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

(6x² + 3x - 1) - (4x² + 5x - 9)

Mathematical Equivalence

ON

Add the polynomials (x-2) and (x²+3)

• x²+x+1

• x³+5

• x³+1

• x³-1