How many real roots the following polynomial would have?
Tap an option to check your answer.
2 marks, −1MathematicsLimits, continuity and differentiabilityIntermediate value theorem, monotonicity and rootsEasyabout 1 min
JNU SIS 2016 Question 3: Limits, continuity and differentiability
Answer and worked solution
Checking your account…
Plain-text version
How many real roots the following polynomial would have? f(x) = 4x⁵ + x³ + 7x - 2 (A) 1 (B) 3 (C) 4 (D) 5
Also written as: How many real roots the following polynomial would have? f(x) = 4x^5 + x^3 + 7x - 2
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Intermediate value theorem, monotonicity and roots, part of Limits, continuity and differentiability in Mathematics.
Using continuity and the sign of the derivative to show roots exist or are unique.
TestStop has 12 past-paper questions on this subtopic.
Similar questions from other papers
- Derivative of Average cost (AC) = 5 + 2/Q is
- The value of the first derivative of f(x)=(3x³+2x²+x+1)² evaluated at x=2 is (*in integer*).
- What will be the third derivative of the following rational function? y = g(x) = x/(1+x); (x ≠ -1)
- The exports of goods of a country, G = G(t) has a growth rate of a/t, and its exports of services, S = S(t) has a growth rate of b/t. What is the growth rate of its…
- Let f(x) = -3x²(1-x) - 3x(1-x)² - (1-x)³. Then, df(x)/dx =
Question from the JNU SIS 2016 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.