Quadratic Functions
Pascal's Triangle and Binomial Theorem
Exponents and Solving Radical Equations
Polynomials
100
Fully factor 20x^2+7x-3
(4x-1)(5x+3)
100
Evaluate (15!)/(9!4!)
150,150
100
Fully simplify
sqrt(-112)
4isqrt7
100
What are the coordinates of the y-intercept of y=3(x-2)(x+4)(x-1)
(0,24)
200
Solve for x. Fully simplify your answer.
3x^2+11=10x
x=(5+-2isqrt2)/3
200
Factor 16x^4+32x^3y^2+24x^2y^4+8xy^6+y^8
(2x+y^2)^4
200
Fully simplify ((9x^4y^-2z^5)^(-1/2))/(4x^3y^0sqrtz)
y/(12x^5z^3
200
Write the equation of the polynomial shown in the graph.
y=-1/2(x+2)^2(x-5)
300
Find the equation of a parabola that has x=-2 as its axis of symmetry and contains the points (0,0) and (1,5).
y=(x+2)^2-4
y=x^2+4x
y=x(x+4)
300
Find the first FOUR values in the 72 row of Pascal’s Triangle.
1 , 72 , 2556 , 59640
300
Solve for x: root(4)1000=100^(3x-1)
x=11/24
300
The polynomial g(x)=4x^3+cx^2-28x+40 has a factor of x+2 for some value of c. Find the value of c.
c=-16
400
A rectangular box with a top has a square base. The sum of the lengths of the edges is 8 feet. What dimensions should the box have so that its surface area is as large as possible?
2/3 ftxx2/3ftxx2/3ft
400
Find the term containing a^12 in the expansion of (a^4-2)^12
-112640a^12
400
Solve for x: sqrt(x-3)-sqrtx=3
No solution
400
The result of dividing
f(x)=3x^3+8x^2-37x+1
by x+5 is shown below. Which of the following statements is FALSE?
a) f(-5)=11
b) (x+5) is not a factor of f(x)
c) Dividing f(x) by x+5 gives a remainder of -10
d) f(x) has at least one real zero
c