Term
What will we need to know for the quiz?
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Definition
Long Division
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Synthetic Division
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Finding the possible factors of Polynomials
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Today's Material
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Term
How do you find all the rational zeros of a polynomial function to a third degree or higher?
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Definition
1.)Use p/q, to find the possible zeroes of the function.
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2.)Test different possible zeros through synthetic division.
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3.)If synthetic division yields a zero for a remainder, then that is a rational zero.
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4.)Take the function formed from completing synthetic division, if it is quadratic then use quadratic formula to find the remaining rational zeros. Place all the rational zeros in your solution set.
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5.)If the function formed through synthetic division is not a quadratic, then you must test another possible zero using synthetic division utilizing this new function. Refer back to step "4".
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Term
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Definition
Possible Factors of the Constant Term Divided by Possible Factors of the Leading Coefficient
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Term
If your polynomial has a complex root in the form of a+bi, it will always have what as another complex root?
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Definition
It's conjugate, a-bi.
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Term
If the degree is greater than or equal to one, then how many roots does the polynomial function have?
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Definition
Equal to the degree
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Term
How do you find a polynomial P(x) with real coefficient having a degree "A", leading coefficient "B", and zeros "C", 0 (multiplicity 3), D-Ei?
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Definition
(Bx^3)(x-C)[((x-D)^2)+(E^2)]
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Term
How do you distribute something in this form?
(x-A)((x^2)-Bx+C)
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Definition
[x((x^2)-Bx+C)-A((x^2)-Bx+C)]
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Term
How do you find all solutions of
(x+1)^2=-A
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Definition
1.)Set it as
(x^2)+2x+(A+1)
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2.)Use the quadratic formula
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3.)Place your solutions in a solution set
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