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
Answer:
(x - 2)(4x + 3)
Step-by-step 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
