Exams
Subjects
Classes
Home
Exams
Mathematics
Polynomials
a polynomial of degree th...
Question:
medium
A polynomial of degree three has:
Show Hint
A cubic polynomial (degree 3) always has exactly three zeroes, but they may not be distinct and could be real or complex.
UK Class X - 2026
UK Class X
Updated On:
Mar 1, 2026
Only one zero
Exactly three zeroes
Almost three zeroes
More than three zeroes
Show Solution
The Correct Option is
B
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Polynomials
Let \( f(x) \) be a polynomial function satisfying
\[ f(x) \cdot f\left(\frac{1}{x}\right) = f(x) + f\left(\frac{1}{x}\right). \]
If \( f(4) = 65 \) and \( I_1, I_2, I_3 \) are in GP, then \( f'(I_1), f'(I_2), f'(I_3) \) are in:
VITEEE - 2024
Mathematics
Polynomials
View Solution
For what value of \(k\), the product of zeroes of the polynomial \(kx^2 - 4x - 7\) is 2?
CBSE Class X - 2024
Mathematics
Polynomials
View Solution
If one of the zeroes of the quadratic polynomial \((\alpha - 1)x^2 + \alpha x + 1\) is \(-3\), then the value of \(\alpha\) is:
CBSE Class X - 2024
Mathematics
Polynomials
View Solution
Assertion (A):
Zeroes of a polynomial
\(p(x) = x^2 − 2x − 3\)
are -1 and 3.
Reason (R):
The graph of polynomial
\(p(x) = x^2 − 2x − 3\)
intersects the x-axis at (-1, 0) and (3, 0).
CBSE Class X - 2024
Mathematics
Polynomials
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in UK Class X exam
If the product of two numbers is 2880 and their H.C.F. is 12, then the value of their L.C.M. is:
UK Class X - 2026
Real Numbers
View Solution
If the product of two numbers is 2880 and their H.C.F. is 12, then the value of their L.C.M. is:
UK Class X - 2026
Real Numbers
View Solution
10
th
term of A.P. 4, 9, 14, ……. is:
UK Class X - 2026
Arithmetic Progression
View Solution
The distance of the point \(P(-6, 8)\) from the origin is:
UK Class X - 2026
Coordinate Geometry
View Solution
In \( \triangle ABC \), \( DE \parallel BC \) such that \( \frac{AD}{DB} = \frac{3}{5} \); if \( AC = 5.6 \, \text{cm} \), then \( AE \) is equal to:
UK Class X - 2026
Coordinate Geometry
View Solution