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ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer?.

Solutions for ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.

Here you can find the meaning of ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?a)No choice of coefficients can make all roots identical.b)a, b, c, d can be chosen to ensure that all roots are complex.c)d can be chosen to ensure that x = 0 is a root for any given set a, b , c.d)c alone cannot ensure that all roots are real.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.