CBSE Class 9 Answered
Factorize, by splitting the middle term 
Asked by Topperlearning User | 07 Aug, 2017, 01:39: PM
Expert Answer
Here a = 6, b = 17, c= 5
ac = 6 x 5 = 30
6x2 + 17x + 5
= 6x2 + 15x + 2x + 5
= 3x (2x + 5) + 1(2x +5)
= (3x + 1)(2x + 5)
Here a = 1, b = -14, c = 45
ac = 1 x 45 = 45 = (-9) x (-5)
x2 - 14x + 45
= x2 - 9x - 5x + 45
= x( x - 9) - 5( x - 9)
= ( x - 9 )( x - 5 )
Here a = 3 , b = -1, c = -4
ac = 3 x (-4) = -12
b = -1 = (-4) + 3
3x2 - x - 4
= 3x2 - 4x + 3x - 4
= x ( 3x - 4) + 1( 3x - 4)
= ( 3x - 4 ) (x + 1)
Here a = 4 , b = -16, c = 15
ac = 4 x 15 = 60
b = -16 = ( -10) + (-6)
4x2 - 16x + 15
= 4x2 - 10x - 6x + 15
= 2x ( 2x - 5) - 3(2x - 5)
= (2x - 5)( 2x - 3)
Answered by | 07 Aug, 2017, 03:39: PM
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