Factoring
Factor.
x2-9
(x-3)(x+3)
Solve for x.
|x|=5
x=5, x=-5
Identify the transformation.
y=x2-5
Down 5
Use Product of Powers Rule to solve.
43 ⋅ 42
45
Classify polynomial by degree.
What is the name of the degree 2?
Quadratic
Factor.
3y-8xy
y(3-8x)
Answer in interval notation. (hint: separate into 2 equations)
|2x-3|<5
(-1,4)
What type of equation is this? (linear, quadratic, cubic)
y=x+2
Linear
Solve.
√16
4
Write polynomial in standard form.
x2-2x3
-2x3+x2
Factor. (hint: look for GCF)
4x2+12x2+16x3
4x2(1+3+4x)
Given: f(x)=2, g(x)=3.
f(x)·g(x)
Write the function described below.
A quadratic function reflected over the x-axis and vertically stretched by a factor of 3.
y=-3x2
Use Power of Powers Rule to solve.
(x2)3
x6
How many solutions does the following equation have?
x4+4x2-77=0
4
Factor.
x3-5x2+4x-20
(x2+4)(x-5)
Identify the transformations.
g(x)=-|x-5|
Reflection X-axis, Right 5
Give answers in interval notation. (hint: factor to find answer)
x2-4x+3<0
(1,3)
Simplify square roots.
√9x4y2
3x2y
Write polynomial in standard form.
Zeros:0,-4
y=x(x+4)
y=x2+4x
Factor
27x3-343
(3x-7)(9x2+21x+49)
What's the range?
f(x)=|x|+1
[1,∞)
Answer in interval notation.(hint: factor to find answer)
x2-10x+25>0
(-∞,5)U(5,∞)
Solve radical equation.
√2x+1=-3
No Solution
Given the formula: y=a(x-r1)(x-r2)(x-r3)
Solve: f(x) is degree of 4; contains (2,48). solutions: -2,3,1,-1
y=-4(x+2)(x-3)(x-1)(x+1)
a=-4