Q1
What is a polynomial?
AAn algebraic expression with variables and coefficients
BOnly a single number
COnly a fraction
DA type of equation only
SSCClass 9 (SSC)Mathematics - Algebra (बीजगणित)Ch 3 · Topic 1
Polynomials
A polynomial is an algebraic expression with variables and coefficients, and understanding polynomial operations is fundamental to algebra.
Core concept
A polynomial consists of terms with variables raised to non-negative integer powers, like 3x²+2x+5, combined using addition or subtraction.
How it works
The degree of a polynomial is the highest power of the variable, like the polynomial 3x²+2x+5 having a degree of 2.
Why it matters
Polynomials can be added, subtracted, multiplied, and divided, following specific rules for combining like terms and distributing.
Key detail
Factorisation of polynomials, breaking them into simpler factors, is essential for solving polynomial equations and simplifying expressions.
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• Polynomial: terms with variables, non-negative powers.
• Example: 3x²+2x+5.
• Degree: highest power of the variable.
• Example above has degree 2.
• Polynomials: add, subtract, multiply, divide.
• Follow rules for like terms, distribution.
• Factorisation breaks into simpler factors.
• This helps solve equations, simplify expressions.