What are the three forms that we can write quadratic equations?
Standard, vertex, factor
100
What are the roots of y=(x+5)(x-9)
What is (-5,0) and (9,0).
100
What is the standard form of a cubic function?
What is y=ax^3+bx^2+cx+d.
100
i^15 is equal to ?
What is -i.
100
Factor the following:
49m^2-4.
What is (7m-2)(7m+2).
200
Put the following in standard form:
f(x) = (x - 4)² - 5.
What is f(x)=x^2 -8x+11.
200
What are the zeros of y = x^2-11x +24?
What is 3 and 8.
200
What are two ways to tell if a cubic function is positive?
What is look at the graph and if it starts in the second quadrant and increases from there, then it is positive. Also, we could look at the equation and see if a is positive or negative.
200
Simplify i-2i+5i.
What is 4i.
200
How do we find the y-intercept?
What is set x=0 and plug x into your equation. Then solve for y. The y-intercept is the point (0,y).
300
Put the following in vertex form:
f(x)=x^2-6x+11.
What is f(x)=(x-3)^2 +2.
300
What are the x-intercepts of the following: (see graph on slide 1)
What is (-1,0), (0.5,0), and (2,0).
300
Put the following into standard form:
y = (x + 2)(x - 1)(x - 3).
What is y=x^3-2x^2-5x+6.
300
What do we use to find if we have complex or real roots?
What is Quadratic formula.
300
(see slide 3).
What is (see slide 4).
400
What is the vertex form?
What is y=a(x-h)^2 +h.
400
How do we find the roots from factoring?
What is you convert the equation into factored form and then set each factor equal to zero. Once each factor is set equal to zero then you solve for x.
400
Factor the following expression:
4x^3+12x^2-16x.
What is 4x(x+4)(x-1).
400
Simplify 7i-3(2i+6).
What is -18+i.
400
Solve the simultaneous equations below:
y=x^2+9x
y=3x-5
What is (-1,-8) and (-5,20)
500
Put the following into factored form:
f(x)=x^2-2x-3.
What is y=(x-3)(x+1).
500
What are two methods to find x-intercepts?
What is factoring and quadratic formula.
500
Sketch a possible graph of the polynomial that has roots at -1, 0, and 3.
What is see graph.
500
Where does the graph lie when we have complex roots?
What is above or below the x-axis and it never crosses the x-axis.
500
Write the equation for the polynomial whose leading coefficient is -3 and has a vertex of (-2,1).