Class 7 · Chapter 12

Algebraic Expressions

Terms, factors, coefficients; like and unlike terms; addition and subtraction of algebraic expressions.

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Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
In 5x2y5x^2y, the number 55 is the coefficient, x,x,yx, x, y are factors. A polynomial is a sum of such terms with non-negative integer exponents.
Key concepts & formulas
01
An expression like 3x+2y73x + 2y - 7 has terms 3x,2y,73x, 2y, -7.
02
Like terms have the same variable(s) with the same exponent.
03
Coefficient of xx in 5x-5x is 5-5.
04
Only like terms can be combined.
05
Degree == highest power in the expression.
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