Question

One of the factor of 6x² + 5x - 6



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Answer 1

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 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

Thus, the factors of 6x² - 5x - 6 are ( 2x - 3 ) ( 3x + 2 ) .

Hope it will help you (◕ᴗ◕✿)