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Apply the Fundamental Theorem of Algebra
Notes 5.7 (Day 1) Apply the Fundamental Theorem of Algebra
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Fundamental Theorem of Algebra
In an equation, the degree is the number of solutions. (Some solutions may have multiplicity.)
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Fundamental Theorem of Algebra
In a function, the degree is equal to the number of zeros. (Some may be real, and some may be imaginary meaning that this does not guarantee that the function passes through the x axis that many times. You cannot graph an imaginary number on a real number coordinate plane.)
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Remember, when talking about equations, they generally do not have zeros, because that term usually refers to functions containing two variables, x and y.
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How many solutions does the equation
x3 + 5x2 +4x + 20 = 0 have? x4 + 5x2 – 36 = 0 have?
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How many zeros does the function
f(x) = x4 – 8x3 +18x2 – 27 have? f(x) = x3 + 7x2 + 8x – 16 have?
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Find the zeros of the polynomial function.
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Find the zeros of the polynomial function.
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Find the zeros of the polynomial function.
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Homework: P , 10-19
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