Question

Factorize the given expression completely : 6x² + 7x − 5

Answer 1

Answer:

(2x-1)(3x+5)

Explanation:

  6x^+7x_5

=6x^-3x+10x-5

=3x(2x-1)+5(2x-1)

=(2x-1)(3x+5)

Answer 2

The complete factorization of 6x² + 7x − 5 is  (2x - 1) (3x + 5)

• Factorization of an expression means breaking an expression into its factors, so that their product results into the expression itself.

• Given expression is 6x² + 7x − 5.

• The middle term should be broken into two terms in such way that their addition or subtraction results to -7x, and their product is equal to the product of 6 × -5 = -30.

• ∴ 6x² + 7x − 5 = 6x² - 3x + 10x -5

Or, 6x² + 7x − 5 = 3x (2x - 1) + 5 (2x - 1)

Or, 6x² + 7x − 5 = (2x - 1) (3x + 5)

Therefore, the factors of 6x² + 7x − 5 are (2x - 1) and (3x + 5).