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Finding zeros: the Rational Root Theorem and complex conjugate pairs — Homework
Build your candidate list first, then test each one with synthetic division before factoring completely.
- 1.Find all zeros of p(x) = x^3+4x^2+x-6.
- 2.Given that 3 is a zero of p(x) = x^3-3x^2+4x-12, find the remaining zeros.
- 3.Use the Rational Root Theorem to list all possible rational zeros of p(x)=2x^3+3x^2-8x+3 (do not solve).
- 4.Find all zeros of p(x) = x^3-2x^2+x-2 by grouping.
- 5.A quartic (degree 4) polynomial with real coefficients has 1+i as a zero. Name one more zero you know for certain, and explain how many zeros remain unknown.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 7 homework