Class 9 Polynomials – Exam Notes + Practice
Questions
Made by School Topper
1. What is a Polynomial?
A polynomial is an expression made of variables and coefficients with non-negative integer powers.
2. Terms, Coefficients, Degree
Term: Each part separated by + or -
Coefficient: Number multiplying the variable
Degree: Highest power of variable
3. Types of Polynomials
• Monomial: One term
• Binomial: Two terms
• Trinomial: Three terms
4. Value of Polynomial
Substitute value of x into the expression.
5. Zero of Polynomial
If p(a) = 0, then 'a' is a zero.
6. Remainder & Factor Theorem
Remainder theorem: Remainder when dividing by (x-a) is p(a).
Factor theorem: If p(a)=0 then (x-a) is a factor.
7. Important Identities
• (a+b)^2 = a^2 + 2ab + b^2
• (a-b)^2 = a^2 - 2ab + b^2
• a^2 - b^2 = (a-b)(a+b)
Questions
Made by School Topper
1. What is a Polynomial?
A polynomial is an expression made of variables and coefficients with non-negative integer powers.
2. Terms, Coefficients, Degree
Term: Each part separated by + or -
Coefficient: Number multiplying the variable
Degree: Highest power of variable
3. Types of Polynomials
• Monomial: One term
• Binomial: Two terms
• Trinomial: Three terms
4. Value of Polynomial
Substitute value of x into the expression.
5. Zero of Polynomial
If p(a) = 0, then 'a' is a zero.
6. Remainder & Factor Theorem
Remainder theorem: Remainder when dividing by (x-a) is p(a).
Factor theorem: If p(a)=0 then (x-a) is a factor.
7. Important Identities
• (a+b)^2 = a^2 + 2ab + b^2
• (a-b)^2 = a^2 - 2ab + b^2
• a^2 - b^2 = (a-b)(a+b)
