Any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2 is called
- linear equation in one variable
- linear equation in two variables
- quadratic equation
- None of these
The Correct Option is C
Solution and Explanation
Correct answer: quadratic equation
Explanation:
An equation of the form \( p(x) = 0 \), where \( p(x) \) is a polynomial of degree 2, is called a quadratic equation.
The general form of a quadratic equation is:
\[ ax^2 + bx + c = 0,\quad \text{where } a \ne 0 \]
Linear equations are of degree 1, not 2. So, the other options are incorrect.
Top Questions on Polynomials
- What is the simple interest on 2000 at $5%$ per annum for 2 years?
- LPUNEST - 2026
- Mathematics
- Polynomials
Let \( M \) be a \( 7 \times 7 \) matrix with entries in \( \mathbb{R} \) and having the characteristic polynomial \[ c_M(x) = (x - 1)^\alpha (x - 2)^\beta (x - 3)^2, \] where \( \alpha>\beta \). Let \( {rank}(M - I_7) = {rank}(M - 2I_7) = {rank}(M - 3I_7) = 5 \), where \( I_7 \) is the \( 7 \times 7 \) identity matrix.
If \( m_M(x) \) is the minimal polynomial of \( M \), then \( m_M(5) \) is equal to __________ (in integer).- GATE MA - 2025
- Mathematics
- Polynomials
- Let \( M \) be a \( 7 \times 7 \) matrix with entries in \( \mathbb{R} \) and having the characteristic polynomial \[ c_M(x) = (x - 1)^\alpha (x - 2)^\beta (x - 3)^2, \] where \( \alpha>\beta \). Let \( {rank}(M - I_7) = {rank}(M - 2I_7) = {rank}(M - 3I_7) = 5 \), where \( I_7 \) is the \( 7 \times 7 \) identity matrix. If \( m_M(x) \) is the minimal polynomial of \( M \), then \( m_M(5) \) is equal to __________ (in integer).
- GATE MA - 2025
- Mathematics
- Polynomials
- The product of the roots of the equation \( x^4 + 1 = 0 \) is ....... (answer in integer).
- Let $ \mathbb{R} $ denote the set of all real numbers. Let $ a_i, b_i \in \mathbb{R} $ for $ i \in \{1, 2, 3\} $.
Define the functions $ f: \mathbb{R} \to \mathbb{R},\ g: \mathbb{R} \to \mathbb{R},\ h: \mathbb{R} \to \mathbb{R} $ by:
$$ f(x) = a_1 + 10x + a_2x^2 + a_3x^3 + x^4,\quad g(x) = b_1 + 3x + b_2x^2 + b_3x^3 + x^4, $$ $$ h(x) = f(x+1) - g(x+2) $$ If $ f(x) \ne g(x) $ for every $ x \in \mathbb{R} $, then the coefficient of $ x^3 $ in $ h(x) $ is:- JEE Advanced - 2025
- Mathematics
- Polynomials
Questions Asked in AP POLYCET exam
- What is the process called when fats and oils are oxidised and their smell and taste change?
- AP POLYCET - 2025
- Chemical Reactions
- What is the law of conservation of mass?
- AP POLYCET - 2025
- Chemical Reactions
- What is the product formed when magnesium ribbon is burnt in oxygen?
- AP POLYCET - 2025
- Chemical Reactions
- What is the significance of writing physical states in a chemical equation?
- AP POLYCET - 2025
- Chemical Reactions
- What is the law of conservation of mass?
- AP POLYCET - 2025
- Chemical Reactions