Question

Factorize 4x2-5x-6 Please help with this question

Answer 1

(x - 2)(4x + 3)

Explanation:

4x² - 5x - 6

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 6 = - 24 and sum = - 5

The factors are - 8 and + 3

Use these factors to split the x- term

4x² - 8x + 3x - 6 ( factor first/second and third/fourth terms )

= 4x(x - 2) + 3(x - 2) ← factor out (x - 2) from each term

= (x - 2)(4x + 3) ← in factored form

Answer 2

Answer: Let us write down the equation and try to find one of the factors.

4x^2 + 5x - 6 = 0

4x^2 + 8x - 3x - 6 = 0

4x(x + 2) - 3(x + 2) = 0

(4x - 3)(x + 2) = 0

From the above deduction we can easily conclude that one of the factors of the equation given in the question is (4x - 3). The correct option among all the options that are given in the question is the fourth option or option "D