(i) State the Factor Theorem. (ii) Explain the relationship between the zeros of a…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

(i) State the Factor Theorem. (ii) Explain the relationship between the zeros of a polynomial and its linear factors. (iii) Using the idea stated in (ii), write the monic quadratic polynomial whose zeros are 22 and −3-3. Verify that each of these numbers is indeed a zero of the polynomial.

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