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Remainder and Factor theorem | Mathematics class 10
Factor and Remainder theorem
1. Remainder theorem
If a polynomial f(x) is divided by (x – α) then remainder = f(α)
Example: Find the remainder (Without division) on dividing f(x) by (x + 3) where f(x) = 2x2 – 7x – 1
Solution:-
X + 3 = 0 or, x = -3
put x = -3 in f(x)
f(-3) = 2(-3)(-3) – (-3) – 1 = 20
Hence, remainder is 20.
2. Factor theorem
(x- α) is a factor of the polynomial f(x) if and only if f(α) = 0
Example: Show that (x – 5) is factors of f(x) where f(x) = 2x2 – 11x + 5.
Solution:-
x – 5 = 0 or, x = 5
put x = 5 in f(x)
f(5) = 2(5)(5) – 11(5) + 5 = 50 – 50 = 0
Hence (x – 5) is the factor.
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With BJP govt in power in Bengal, Chiefs of WBSSC and WBBSE resign
With the first Bharatiya Janata Party-led government in West Bengal having already taken charge with Suvendu Adhikari as the first BJP Chief Minister, Siddhartha Majumdar, the chairman of the West Bengal School Service Commission (WBSSC), an autonomous body under the State Education Department, has tendered his resignation on Tuesday.
Source: bhaskarlive.in
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WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.1
https://wbbsesolutions.guide/wbbse-solutions-for-class-10-maths-chapter-1-quadratic-equations-in-one-variable-ex-1-1/
WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.2
WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.3
WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.3