Solve for x using the master product.
4x^2 + 8x + 3 = 0
master product:
and try

the solution of the quadratic equation is twofold, to find the solution, you can factor it first.

4x² + 8x + 3 = 0

4x² + 6x + 2x + 3 = 0

2x(2x + 3) + 1(2x + 3) = 0

(2x + 3) (2x+1) = 0

2x+3=0 or 2x+1=0

x=-3/2 x=-1/2

You can try to prove that the x value above will produce 0

• first x = -3/2

= 4(-3/2)² + 8(-3/2) + 3

= 9 - 12 + 3

= 0 (true ✔️)

• second x = -1/2

= 4(-1/2)² + 8(-1/2) + 3

= 1 - 4 + 3

= 0 (true ✔️)

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).