definition
Examples 4 to 6
(4) If m = – 28, and n = 20, find the value of 9m2 + 24mn + 16n2.
Soln. 9m2 + 24mn + 16n2 = ( 3m + 4n )2 = ( – 84 + 80 )2 = 16.
…
Examples 1 to 3
(1) If a + b = 9 and a – b = 5, find a2 + b2 and ab.
Soln. 2( a2+b2 ) = (a + b) 2 + (a – b) 2
= (9) 2 + (5) 2
= 1…
Remainder Theorem
☼ Remainder Theorem : If an expression f(x) is divided by (x – a), then the remainder is f(a).
e.g. Is x + 2 a factor of 5x2 – 3x – 14 ?
Factor Theorem
☼ Factor Theorem : If f(x) is completely divisible by (x – a), then f(a) = 0.
Thus, (x – a) is a factor of f(x)
Line Graphs
Line Graphs
V. In a school the periodical examinations are held every second month. In a session during Apr. 2002 – Mar. 2003, a student of Class XI appeared for each of the periodical exams….