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

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:

Step1: Expand each option

For option A: $(2x + 3)(x+1)=2x\times x+2x\times1+3\times x + 3\times1=2x^{2}+2x + 3x+3=2x^{2}+5x + 3$. For option B: $(2x - 3)(x - 1)=2x\times x-2x\times1-3\times x+3\times1=2x^{2}-2x-3x + 3=2x^{2}-5x + 3$. For option C: $(3x + 2)(x + 1)=3x\times x+3x\times1+2\times x+2\times1=3x^{2}+3x+2x + 2=3x^{2}+5x + 2$. For option D: $(3x - 2)(x - 1)=3x\times x-3x\times1-2\times x+2\times1=3x^{2}-3x-2x + 2=3x^{2}-5x + 2$.

Answer:

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