Standard Form & Classifying
Standard Form & Factored Form
Zeros of a Function
Long Division & Synthetic Division
Poly Roots
100
Write in standard form and specify the degree: 3x + 4x^2 - 12
What is 4x^2+3x-12 and quadratic trinomial?
100
Write in standard form: (x+1)(x-2)(x+5)
What is x^3 + 4x^2 - 7x - 10?
100
What are the zeros of the following function: P(x) = (x - 3)(x + 1)(x - 2)
What is x = 3, -1, 2?
100
Solve by long division or synthetic division if possible. (x^3 + 3x^2 - x + 2) divided by (x - 1)
What is x^2 + 4x + 3 + 5/x-1?
100

List the roots of f(x) = 3x^4-5x^2+2x+1 knowing that one of the roots is -1 (HINT: use synthetic division, then factor)

What is +-1, +-1/3

200
Write in standard form and specify the degree: 5 - 2x^4 + 5x^4
What is 3x^4 + 5 and quartic?
200
Write in standard form: x(x+3)^2
What is x^3 + 6x^2 + 9x?
200
The function x(x - 5)(x + 1)^2 crosses the x-axis at x=__and __ and bounces at x = __
What is x = 0, 5 and x= -1?
200
Solve by long division or synthetic division if possible. (2x^3 - 3x^2 - 18x - 8) divided by (x - 4)
What is 2x^2 + 5x + 2?
200

what is the y-intercept of f(x) = -2x^3+x^2+4x+12 ?

(0,12)

300
specify the degree: x(x-2)(x+4)^2
What 4 or quartic
300
Factor: x^3 + x^2 - 6x
What is x(x+3)(x-2)?
300
What are the zeros of the following function: (x + 3)^3
What is x = -3 ?
300
Solve by long division or synthetic division if possible. (x^3 - 3x^2 - 5x - 25) divided by (x - 5)
What is x^2 + 2x + 5?
300
Find the roots of P(x) = x^2-5x+4
What are 1 and 4
400
Write in standard form and specify the degree: 20 - 13
What is 7 and constant
400
Factor: 3x^3 + 9x^2 + 6x
What is 3x(x + 1)(x + 2)?
400
The function P(x) = x^3 + x^2 -5x +3 crosses the x-axis at x=__ and bounces at x = ___
What is x = 1 and x = -3
400
Solve by synthetic division. (x^4 + 3x^2 + x + 4) divided by (x + 3)
What is x^3 - 3x^2 + 12x - 35 + 109/x+3?
400

What are the roots of P(x) = x^3-5x^2+2x+8 given one of the roots is 4? (HINT: Use synthetic division then factor)

What are 4, 2 and -1

500
specify the degree: 2x^2 - 4
What is quadratic?
500
Write the polynomial in standard form with the zeros x = -2, -1, 0.
What is x^3 + 3x^2 + 2x?
500
Write the polynomial in standard form with zeros x = -2, 3, 4.
What is x^3 - 5x^2 - 2x + 24?
500
Evaluate. P(-2) for P(x) = x^3 + 4x^2 - 8x - 6
What is P(-2) = 18?
500

Find the roots of P(x) = x^4-5x^2+4

What are -2, -1, 1 and 2

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