One of the factor of 6x² + 5x - 6
Answers
Answer:
Step 1: Multiply the first term by the constant term, i.e., (6x2 and -6) = -36x2
Step 2: Find the two factors of -36x2 such that their sum is equal to the middle term, i.e., -5x.
Hence, two such factors are -9x and 4x
The product of -9x and 4x = -36x2
The sum of -9x and 4x = -5x
Thus, by splitting the middle term we have,
6x² - 9x + 4x - 6=0.
⇒ 3x(2x-3) + 2(2x-3) = 0
⇒ (2x-3)(3x+2) = 0
Thus, the factors of 6x² - 5x - 6 are (2x-3) (3x+2).
Answer:
The factor of 6x² - 5x - 6 are
( 2x - 3 )( 3x + 2 )
Step 1 : Multiply the first term by the constant term , i.e ., ( 6x² and -6 ) = 36x²
Step 2 : Find the two factors of -36x² such that their sum is equal to the middle term , i.e., -5x
Hence , two such factors are -9x and 4x
The product of -9x and 4x = -36x²
The sum of -9x and 4x = -5x
Thus , by splitting the middle term we have ,
6x² - 9x + 4x - 6 = 0
= 3x ( 2x -3 ) + 2 ( 2x -3 ) = 0
= (2x - 3 ) ( 3x + 2 ) = 0