# Real Analysis [GATE (Graduate Aptitude Test in Engineering) Mathematics]: Questions 25 - 29 of 29

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## Question 25

## Question 26

## Question 27

Appeared in Year: *2009*

### Question

MCQ▾A cubic polynomial with real coefficients?

### Choices

Choice (4) | Response | |
---|---|---|

a. | May have up to three extrema and up to 2 zero crossings | |

b. | Cannot have more than two extrema and more than three zero crossings | |

c. | Can possibly no extrema and no zero crossings? | |

d. | Will always have an equal number of extrema and zero crossings |