Is it a Polynomial
Zeros and Multiplicities
Factored Form to Standard
Standard Form to Factored
Cubic Functions
Real Random
100
Is the following a polynomial? Why or Why not? What form is it in?
f(x)=2x^3+3x^2-x+7
Yes, Only positive whole number exponents. Standard Form
100
List the zeros from the polynomial.
y=(x-2)(x+3)
Zeros: 2, -3
100
Write a polynomial in factored form from its zeros. Zeros: 0, -2, 3
y=x(x+2)(x-3)
100
Write the following polynomial in factored form.
y=2x^2-4x
y=2x(x-2)
100
Describe the transformations:
3(x-2)3+2
Translate 2 right, 2 up, Vertical stretch 3,
100
How fast was the person going when the received the first speeding ticket ever in USA using miles per hour?
8 mph
200
Is the following a polynomial? Why or Why not? What form is it in?
y=x^(1/3)+3x+8
No, Cannot have fractional exponents.
200
List the zeros and their multiplicities from the polynomial.
y=x(x-3)^3(x+4)^5
Zeros: 0 mult = 1
3 mult = 3
-4 mult = 5
200
Write a polynomial in factored form from its zeros. Zeros: 3 (multiplicity 3), -7
y = (x-3)^3(x+7)
y = (x-3)(x-3)(x-3)(x+7)
200
Write the following polynomial in factored form given that x - 7 is a factor.
y=x^3-7x^2-4x+28
y=(x-7)(x-2)(x+2)
200
Describe the transformations:
f(x)=(-2(x+3))3-2
Horizontal shrink factor of 2, Translate 3 left 2 down, reflect across y-axis
200
Who is the father of Geometry?
Euclid (Greece)
300
Is the following a polynomial? Why or Why not? What form is it in?
f(x)=(x^2+3)/x^3
No, Cannot divide by variables.
300
Given the zeros and their multiplicities identify whether each zero touches or crosses at the x-axis.
0 mult = 4
3 mult = 2
5 mult = 7
0 = touches
3 = touches
5 = crosses
300
Write the polynomial in standard form,
y=x(x-2)(x+3)
y=x^3+x^2-6x
300
Write the following polynomial in factored form given that 5 is a zero.
f(x)=x^4-2x^3-19x^2+8x+60
y=(x-5)(x-2)(x+2)(x+3)
300
What is 123=?
1728
300
What is Mr. Shim's first name?
John
400
Is the following a polynomial? Why or Why not? What form is it in?
y=x(x-2)^2(x+1)
Yes. Only positive whole number exponents. Factored Form.
400
Find the zeros and identify their multiplicities from the polynomial.
f(x)=x^3-4x^2+4x
Zeros: 0 mult = 1
2 mult = 2
400
Write the polynomial in standard form,
y=(x-4)^2(x+4)
y=x^3-4x^2-16x+64
400
Identify the zeros from the polynomial.
y=x^3+2x^2-8x
Zeros: 0, 2, -4
400
What is the word used to describe the transformations of a function such as a, b, h, k?
Parameters
400
Who is the father of Algebra?
Muhammad ibn Musa Al-Khwarizmi
500
Is the following a polynomial? Why or Why not? What form is it in?
y=(1/2x^4+2x^2+1)/5
Yes, Only have positive whole number exponents. Neither form. (needs simplified)
500
Identify the zeros and their behavior at the x-axis.
-3 = crosses
2 = touches
5 = crosses
500
Write a polynomial in standard form from the given zeros,
0, -5 (mult: 2), 5
y=x^4+5x^3-25x^2-125x
500
Identify the zeros from the polynomial given x + 6 is a factor.
y=x^3+10x^2+3x-126
Zeros: -7, -6, 3
500
Write a polynomial in standard form from the given information Degree 3 & Zeros of 0, -8i.
y=x^3+64x
500
How fast is the speed of light in meters per second?
300,000,000 m/sec