Engineering Board Exam Reviewer · Polynomials: Remainder and Factor Theorems · medium
Find the monic polynomial of lowest degree whose roots are 1, -2, and 3.
- x3+2x2-5x-6
- x3-2x2+5x+6
- x3-2x2-5x+6
- x3-6x2-x+6
Answer
C. x3-2x2-5x+6
Solution
(x-1)(x+2)(x-3)=(x2+x-2)(x-3)=x3-3x2+x2-3x-2x+6=x3-2x2-5x+6.
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