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Now Playing:Fundamental theorem of algebra– Example 1
Examples
Introduction to Fundamental Theorem of Algebra
For each polynomial, state the:
• degree of the polynomial
• nature of the roots
• number of roots
i) x3−2x2−13x−10
ii) x3−3x2−9x−5
iii) x3−6x2+8x−15
iv) x5−x4+x3−19x2+15x−63
Discuss the Possible Combinations of Roots
State the possible combinations of roots for each polynomial:
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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.
