Embedded Files
Factoring Quadratics
Factoring Quadratics
Completely factor x^2+6x+8
= (x+4)(x+2)
Factoring Quadratics II
Factoring Quadratics II
Completely factor 3x^2+4x-7
= (3x+7)(x-1)
Factoring Quadratics III
Factoring Quadratics III
Completely factor
= x^2(x-7) - 3(x-7)
= (x^2-3)(x-7)
Factoring Quartics
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
Factoring/Solving Difference of Cubes
Solving Quartics
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
Vertex Form
Rewrite in vertex form.
Graphing Polynomials
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
Write a Polynomial with Roots
Find a polynomial function with the given zeros: 0, 2 mult 2
Long Division
Long Division
Divide with Long Division
Synthetic Division
Synthetic Division
Divide with Synthetic Division
Rational Roots Theorem
Rational Roots Theorem
Use the Rational Roots Theorem to find all possible roots and then solve.
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