which shows the factored form of $x^{2}-12x - 45$?\n$(x + 3)(x - 15)$\n$(x - 3)(x - 15)$\n$(x + 3)(x +…

which shows the factored form of $x^{2}-12x - 45$?\n$(x + 3)(x - 15)$\n$(x - 3)(x - 15)$\n$(x + 3)(x + 15)$\n$(x - 3)(x + 15)$

which shows the factored form of $x^{2}-12x - 45$?\n$(x + 3)(x - 15)$\n$(x - 3)(x - 15)$\n$(x + 3)(x + 15)$\n$(x - 3)(x + 15)$

Answer

Explanation:

Step1: Expand each option

For option A: $(x + 3)(x - 15)=x^{2}-15x+3x - 45=x^{2}-12x - 45$. For option B: $(x - 3)(x - 15)=x^{2}-15x-3x + 45=x^{2}-18x + 45$. For option C: $(x + 3)(x + 15)=x^{2}+15x+3x + 45=x^{2}+18x + 45$. For option D: $(x - 3)(x + 15)=x^{2}+15x-3x - 45=x^{2}+12x - 45$.

Answer:

A. $(x + 3)(x - 15)$