which expression is the factored form of $x^{2}-7x + 10$?\n$(x + 3)(x + 4)$\n$(x - 3)(x - 4)$\n$(x - 2)(x…

which expression is the factored form of $x^{2}-7x + 10$?\n$(x + 3)(x + 4)$\n$(x - 3)(x - 4)$\n$(x - 2)(x - 5)$\n$(x + 2)(x + 5)$

which expression is the factored form of $x^{2}-7x + 10$?\n$(x + 3)(x + 4)$\n$(x - 3)(x - 4)$\n$(x - 2)(x - 5)$\n$(x + 2)(x + 5)$

Answer

Explanation:

Step1: Expand each option

For option A: $(x + 3)(x + 4)=x^{2}+4x+3x + 12=x^{2}+7x + 12$. For option B: $(x - 3)(x - 4)=x^{2}-4x-3x + 12=x^{2}-7x + 12$. For option C: $(x - 2)(x - 5)=x^{2}-5x-2x + 10=x^{2}-7x + 10$. For option D: $(x + 2)(x + 5)=x^{2}+5x+2x + 10=x^{2}+7x + 10$.

Answer:

C. $(x - 2)(x - 5)$