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Formula Sheet

Polynomials — Formula Sheet

Punjab Board · Class 9 · Mathematics

5 formulas from Polynomials (Punjab Board Class 9 Mathematics) on one page, grouped by topic. Includes FACTOR THEOREM and SPLITTING THE MIDDLE TERM.

45 questions32 flashcards5 formulas & key relations5 concepts

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A labeled diagram illustrating the general form of a polynomial, distinguishing between real and complex polynomials by highlighting the nature of coefficients and variables. Also includes the definit
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5 Entries · 3 Sections

Formulas and Key Relations

Zeroes of a Polynomial

A ZERO of polynomial p(x) is a number 'c' such that p(c) = 0.

Finding a zero means solving the equation p(x) = 0.

Remainder Theorem and Factor Theorem

FACTOR THEOREM

(x – a) is a factor of p(x) if and only if p(a) = 0.

The Factor Theorem is a special case of the Remainder Theorem (when remainder = 0, the divisor is a factor).

Factorisation of Polynomials

SPLITTING THE MIDDLE TERM

For ax^2 + bx + c, find two numbers p and q such that p + q = b and p × q = a × c. Rewrite bx as px + qx and factorise by grouping.

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Frequently Asked Questions

What are the important topics in Polynomials for Punjab Board Class 9 Mathematics?
Key topics in Polynomials include Polynomials in One Variable – Basic Concepts, Zeroes of a Polynomial, Remainder Theorem and Factor Theorem, Factorisation of Polynomials. Study these first, then practise questions on each for Class 9 exams.
How many formulas are in Polynomials?
This sheet lists 5 formulas from Polynomials, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Polynomials for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Polynomials. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Polynomials

All Punjab Board Class 9 Mathematics Formula Sheet

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