Answer:
see explanation
Explanation:
given
2x² - 5x - 3 = 0 ← in standard form
To factor the quadratic
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 = 2 × - 3 = - 6 and sum = - 5
The factors are - 6 and + 1
Use these factors to split the x- term
2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)
(x - 3)(2x + 1) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
