Presentation on theme: "EXAMPLE 1 Find the number of solutions or zeros"— Presentation transcript:
1 EXAMPLE 1Find the number of solutions or zerosa. How many solutions does the equationx3 + 5x2 + 4x + 20 = 0 have?SOLUTIONBecause x3 + 5x2 + 4x + 20 = 0 is a polynomialequation of degree 3,it has three solutions.(The solutions are – 5, – 2i, and 2i.)
2 EXAMPLE 1Find the number of solutions or zerosb. How many zeros does the functionf (x) = x4 – 8x3 + 18x2 – 27 have?SOLUTIONBecause f (x) = x4 – 8x3 + 18x2 – 27 is a polynomialfunction of degree 4, it has four zeros. (The zerosare – 1, 3, 3, and 3.)
3 GUIDED PRACTICEfor Example 11. How many solutions does the equationx4 + 5x2 – 36 = 0 have?ANSWER4
4 GUIDED PRACTICEfor Example 12. How many zeros does the functionf (x) = x3 + 7x2 + 8x – 16 have?ANSWER3
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