Fundamental theorem of algebra

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Now Playing:Fundamental theorem of algebra– Example 1
Examples
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  1. Introduction to Fundamental Theorem of Algebra
    For each polynomial, state the:
    • degree of the polynomial
    • nature of the roots
    • number of roots
    i) x32x213x10x^3 - 2x^2 - 13x - 10
    ii) x33x29x5x^3 - 3x^2 - 9x - 5
    iii) x36x2+8x15x^3 - 6x^2 + 8x -15
    iv) x5x4+x319x2+15x63x^5 - x^4 + x^3 -19x^2 +15x-63
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    What is a polynomial function?
    Notes
    Fundamental Theorem of Algebra:
    • Every polynomial can be factored into a product of linear factors and irreducible quadratic factors.
    • A degree n polynomial has exactly n roots.