the model represents the factorization of 2x²+5x + 3. what are the factors of the polynomial? (2x + 3)(x +…

the model represents the factorization of 2x²+5x + 3. what are the factors of the polynomial? (2x + 3)(x + 1) (2x - 3)(x - 1) (3x + 2)(x + 1) (3x - 2)(x - 1)

the model represents the factorization of 2x²+5x + 3. what are the factors of the polynomial? (2x + 3)(x + 1) (2x - 3)(x - 1) (3x + 2)(x + 1) (3x - 2)(x - 1)

Answer

Explanation:

Step 1: Factor the quadratic trinomial

Find two binomials ((ax + b)(cx + d)) such that (ac = 2), (bd = 3), and (ad + bc = 5).

Step 2: Determine coefficients

Choose (a = 2), (c = 1) (since (2 \times 1 = 2)) and (b = 3), (d = 1) (since (3 \times 1 = 3)). Check (ad + bc = 2 \times 1 + 1 \times 3 = 5), which matches the middle term.

Answer:

A. (2x+3)(x+1)