Polynomials And Equations — Formula Sheet
Kerala Board · Class 10 · Mathematics
7 formulas from Polynomials And Equations (Kerala Board Class 10 Mathematics) on one page, grouped by topic. Includes Use the distributive property.
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Formulas and Key Relations
Polynomial Multiplication
Use the distributive property
(x + a)(x + b) = x² + (a + b)x + ab
Polynomial Factorization
Use the identity (a - b)² = (a + b)² - 4ab to find unknown factors
Solving Quadratic Equations by Factorization
If (x - a)(x - b) = 0, then x = a or x = b (zero product property)
Quadratic Formula (General Solution)
Universal method for solving any quadratic equation ax² + bx + c = 0
Key relations
If (x - p)(x - q) = 0, then either x - p = 0 or x - q = 0, giving x = p or x = q.
For polynomials difficult to factorize mentally, use
if a + b = s and ab = p, then (a - b)² = s² - 4p.
For ax² + bx + c = 0, the solutions are x = (-b ± √(b² - 4ac))/(2a).
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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