In this lesson, we will learn how to find the number and type of roots of polynomials and how to find unknown coefficients if the roots are given.
Students will be able to
Q1:
If π+ππ is a root of the polynomial π(π₯), what is the value of π(π+ππ)?
Q2:
Does the polynomial ππ§+ππ§+ππ§+ππ§+ππ§+πο«οͺο©ο¨, where π is nonzero and all the coefficients are real, have at least one real root?
Q3:
If π+ππ is a root of the equation π(π₯)=0, where π(π₯) is a polynomial with real coefficients, which other complex number must also be a root?
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