Sketch the Graph
End Behavior
Polynomial Factors and Zeros
Ms. O'Leary
Dividing Polynomials
100

Sketch the graph of:

f(x) = (x+4)(x+4)

even/positive

one tangent x-intercept at x = -4

100

Describe the end behavior of the function: y = x2

as x -> -infinity, f(x) -> infinity

as x -> infinity, f(x) -> infinity

100
Find the zeros of the function: y = (x - 3)(x + 2)
{-2, 3}
100

Where is Ms. O'Leary from?

California

100

Find the quotient of 6t3 +15t2 -15t divided by -3

-2t-5t2 +5t

200

Sketch:

g(x) = -(x+3)(x-2)

even/negative

one x-intercept at x = -3, 2

200

Describe the end behavior of the function: y = -x3

as x -> -infinity, f(x) -> -infinity

as x -> infinity, f(x) -> infinity

200
Write the polynomial in factored form: x3 + 7x2 + 10x
x(x + 5)(x + 2)
200

What is Ms. O'Leary's most commonly used word to describe students?

heinous

200
Find the quotient: (x2 + 10x + 21) ÷ (x + 3)
x + 7
300

Sketch:

f(x) = (x+4)(x-1)(x-8)

odd/positive

x-intercepts at -4, 1, 8

300

Describe the end behavior of the function: y = -3x2 + 4x + 1

as x -> -infinity, f(x) -> -infinity

as x -> infinity, f(x) -> -infinity

300
Find the zeros of the function: y = x(x + 1)(x - 7)
{-1, 0, 7}
300

Who is Ms. O'Leary's favorite rapper?

Lil Wayne

300
Find the quotient and remainder: (2x2 + 7x + 8) ÷ (x + 2)
Quotient: 2x + 3, remainder: 2
400

Sketch the graph:

f(x) = x(x2-4)

odd/positive

three x-intercepts: -2, 0, 2

400

Describe the end behavior of the function: y = 7x3 + 2x2 - 10x + 9

as x -> -infinity, f(x) -> -infinity

as x -> infinity, f(x) -> infinity

400

Write a polynomial function, that opens up, in factored form with the given zeros: 5, 4

y = (x-5)(x-4)

400

What is Ms. O'Leary's favorite app?

TikTok

400
Find the quotient and remainder: (x3 + 3x2 - x + 2) ÷ (x - 1)
Quotient: x2 + 4x + 3, remainder: 5
500

Sketch:

j(x) = -(x2 - 9)(x + 1)

odd/negative

three x-intercepts: -3, -1, 3

500

Describe the end behavior of the function and find the y-intercept: y = 7x - 5x2 + 8x

as x -> -infinity, f(x) -> -infinity

as x -> infinity, f(x) -> -infinity

; (0,0)

500

Write a polynomial function, that has a positive leading coefficient, in factored form with the given zeros: 1, -1, -2

y = (x-1)(x+1)(x+2)

500

Where is her favorite place to go in the summer?

THE BEACH!!!!!!!

500
Find the quotient and remainder: (x3 + 11x + 12) ÷ (x + 3)
Quotient: x2 - 3x + 20, remainder: -48