11. Use the quadratic formula to explain why a quadraticpolynomial function f(x) = ax? + bx +c is irreducible if,and only if, the discriminant b – 4ac is negative. Thenuse the discriminant to show that f(x) = 3x² + 2x + 6 isirreducible.

Answered: 11. Use the quadratic formula to…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is irreducible if, and only if, the discriminant b – 4ac is negative. Then use the discriminant to show that f(x) = 3x² + 2x + 6 is irreducible.