the model represents $x^{2}-9x + 14$. which is a factor of $x^{2}-9x + 14$? $x - 9$ $x - 2$ $x + 5$ $x + 7$
the model represents $x^{2}-9x + 14$. which is a factor of $x^{2}-9x + 14$? $x - 9$ $x - 2$ $x + 5$ $x + 7$
Answer
Explanation:
Step1: Factor the quadratic expression
For a quadratic expression (x^{2}+bx + c), we need to find two numbers (m) and (n) such that (m + n=b) and (m\times n = c). For (x^{2}-9x + 14), we need to find two numbers (m) and (n) such that (m + n=-9) and (m\times n=14). The numbers are (-2) and (-7) since ((-2)+(-7)=-9) and ((-2)\times(-7) = 14). So, (x^{2}-9x + 14=(x - 2)(x - 7)) using the formula (x^{2}+(m + n)x+mn=(x + m)(x + n))
Answer:
(x - 2)