Q. Write a polynomial of least degree with roots −9 and −8.Write your answer using the variable x and in standard form with a leading coefficient of 1.
Factor Root −9: Root −9 gives factor (x+9).
Factor Root −8: Root −8 gives factor (x+8).
Multiply Factors: Multiply the factors: (x+9)(x+8).
Expand Expression: Expand: x2+8x+9x+72.
Combine Like Terms: Combine like terms: x2+17x+72.
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