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Mathematics, 24.06.2020 04:01 maggiestevens5321
gary, Heather, and Irene want to find the zeros of the polynomial P(x). They evaluate the polynomial for different values and find: P(β1)=0 P(0)=1 P(2+3ββ)=0 Each student interprets this information separately and presents his or her conclusions to the group. Gary concludes that since P(β1) and P(2+3ββ) equal 0, 2 zeros of P(x) are β1 and 2+3ββ. By the Irrational Root Theorem, 2β3ββ is also a zero of P(x). Heather concludes that since P(0)=1, 1 zero of P(x) is 1. There isn't enough information to determine any other zeros of P(x). Irene concludes that since P(β1) and P(2+3ββ) equal 0, 2 zeros of P(x) are β1 and 2+3ββ. There isn't enough information to determine any other zeros of P(x). Which statements correctly explain why each student is correct or incorrect?
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