Factoring Quadratics
Completely factor x^2+6x+8
= (x+4)(x+2)
Factoring Quadratics II
Completely factor 3x^2+4x-7
= (3x+7)(x-1)
Factoring Quadratics III
Completely factor
= x^2(x-7) – 3(x-7)
= (x^2-3)(x-7)
Factoring Quartics
Completely factor 2x^4-28x^2+90
= 2(x^4-14x^2+45)
= 2(x^2-9)(x^2-5)
= 2(x+3)(x-3)(x^2-5)
Factoring/Solving Difference of Cubes
Solving Quartics
Completely factor.
= 2x^4-28x^2+90
= 2(x^4-14x^2+45)
= 2(x^2-9)(x^2-5)
= 2(x+3)(x-3)(x^2-5)
x=-3, 3, +-sqrt 5
Vertex Form
Rewrite in vertex form.
Graphing Polynomials
- Determine the End Behavior based on the Leading Coefficient Test and write the end behavior of this polynomial in Limit Notation.
- Find the zeros of the polynomial function
- Find the y-intercept of the polynomial function
- Graph the polynomial function.
Write a Polynomial with Roots
Find a polynomial function with the given zeros: 0, 2 mult 2
Long Division
Divide with Long Division
Synthetic Division
Divide with Synthetic Division
Rational Roots Theorem
Use the Rational Roots Theorem to find all possible roots and then solve.
