Factoring Polynomials
Factor the polynomial:
x3+7x2+10x
x(x+5)(x+2)
Use Synthetic Division to divide the following equation:
(x2-3x-40)/ (x+5)
x-8
Divide the polynomial by long division.
(3x2+7x-20) / (x+4)
3x-5
Identify the parent function of the following equation:
f(x)=|x-2|
Absolute Value
If we have a polynomial with 1+4i as a zero, what else must also be a zero?
1-4i
Factor the polynomial:
9x3+6x2-3x
3x(3x-1)(x+1)
Use Synthetic Division to solve the following equation:
(x3+3x2-x+2)/(x-1)
x2+4x+3, R:5
Use Long Division to solve the following equation:
2x3-3x2-18x-8) / (x-4)
2x2+5x+2
If f(x)=2x-3 and g(x) = x2-1, find f(3)-g(-2)
0
What is the axis of symmetry of the following quadratic?
y=3x2+6x+35
x=-1
Factor the polynomial and find the zeros:
3x3+12x2-3x=12
x=-4,-1,1
Use Synthetic Division to solve the following equation:
(x3+27) / (x+3)
x2-3x+9
Use Long Division to solve the following equation:
(x2-7x+10)/ (x+3)
x-10, R:40
Identify all transformations in the following function:
f(x)=-(x-2)2+3
Vertical Reflection
Horizontal Translation +2
Vertical Translation +3
What type of symmetry does the following equation have?
xy+y2=3
Origin
Factor the polynomial to find the zeros. You may need to use the quadratic equation.
12x3=60x2+75x
x=0, (5 +/- 5sqrt2) /2
Use Synthetic Division to solve the following equation:
(x4+3x3+x+4) / (x+3)
x3-3x2+12x-35, R:109
Use Long Division to solve the following equation:
(x3+5x2-3x-1) / (x-1)
x2+6x+3, R:2
If possible, find the inverse function of f(x)=x2-2
Not possible
Name all asymptotes of the rational function:
h(x)=(x-3)/(x2-8x+15)
Vertical Asymptote: x=5
Horizontal Asymptote: y=0
(Bonus Point: Hole at x=3)
Factor the polynomial to find the zeros.
x3+1=x2+x
x=-1,1
Use Synthetic Division to solve the following equation:
(x5+1) / (x+1)
x4-x3+x2-x+1
Use Long Division to solve the following equation:
(2x2+x-7) / (x-5)
2x+11, R:48
If f(x)=2x-3 and g(x)=x2-1, find f(g(x))
f(g(x))=2x2-5
Solve the inequality. Give your answer in interval notation.
x2+7x+12<0
(3,4)