Answer:
A
Explanation:
2x² + 5x + 2 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 2 = 4 and sum = + 5
the factors are + 4 and + 1
use these factors to split the x- term
2x² + 4x + x + 2 = 0 ( factor the first/second and third/fourth terms )
2x(x + 2) + 1(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x + 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ( subtract 2 from both sides )
x = - 2
2x + 1 = 0 ( subtract 1 from both sides )
2x = - 1 ( divide both sides by 2 )
x = -
the roots are x = - 2, -